I have created a workflow is SharePoint Designer and associated it with a list. The workflow creates an approval process, so SharePoint creates a task in the Tasks list so t
I'm not sure if Madhur's solution works on the associated item or on the task, but to update the task try:
Tasks
199
Approved
Completed
Approved
Info on the service:
http://objectmix.com/sharepoint/800144-updatelistitems-web-service-does-not-update-field.html
Info on the approved field:
http://social.msdn.microsoft.com/Forums/en/sharepointworkflow/thread/6712d379-2df6-4223-9a29-b2e60493f1b6
http://social.msdn.microsoft.com/Forums/en/sharepointworkflow/thread/3dc95190-cc61-4067-ac35-2d1a82fad499