Multi-column vlookup conditional formatting

I'm looking to create a conditional format for a worksheet based on a couple of things.

Sheet 1:

Reference: "Date" = Col1 Row1

    Date    Census          RN's On Schedule                
            7a  3p  11p     7a  3p  11p     
    1-Oct   8   8   9       8   8   9       
    2-Oct   10  14  13      13  16  13      
    3-Oct   10  12  12      12  12  10      
    4-Oct   12  10  10      11  11  10      
    5-Oct   10  11  11      11  12  11      
    6-Oct   10  11  14      11  12  12      
    7-Oct   13  12  12      12  14  12

Sheet 2:

Reference: "Census" = Col1 Row1

Census  RN Staffing Needs       
        7a  3p  11p     
1       2   2   2       
2       2   2   2       
3       2   2   2       
4       3   3   2       
5       4   4   3       
6       4.5 5   5       
7       5   6   6       
8       6   7   6.5     
9       7   8   7       
10      8.5 9   8.5     
11      10  11  10      
12      12  12  11.5    
13      12  12  12      
14      12  12  12      
15      13  13  13      
16      13  13  13      
17      14  14  14      
18      14  14  14

So here's the question.

I've got these values in sheet 1 that I'm looking to compare to sheet 2 and use conditional formatting to highlight certain things. I need excel to look at the census (for reference, 1-Oct census is 8 @ 7a) from sheet one and find it in sheet two. Then I need it to compare the number in RN's On Schedule to the number in RN Staffing Needs (RN Staffing Needs, in this case 6 @ 7a; RN's On Schedule, 8). When the RN's on Schedule value from Sheet 1 (F3 in the case of 1-Oct) is HIGHER than the RN Staffing Needs from Sheet 2 I need a conditional format to highlight that value green. When it is LOWER I need it to highlight that value yellow. When there is an exact match nothing needs to happen.

I've tried vlookups and index/matches with nested IF statements and IFERROR's and the like... this one's a little out of my scope of practice. Any help will be greatly appreciated!!

I took the approach below, but you can probably consolidate it even more.

EDIT: I was able to consolidate it even more.

Apply this formula for conditional formatting for the Range(E3:E9) in Sheet1. Then make an additional rule, but change the formula to > and to fill green. Then you can use the same two formats against columns F and G and you just need to change the column references in your formula and the vlookup column indicator.

So, for column F, the formula would be =F3<vlookup(C3,Sheet2!$A:$D,3,0)