If I am reading your post correctly, you stated connecting your Xbox controller to a 360-pc adapter... I don't believe that will work... however, if you meant 360 controller and pc adapter for the 360, that's entirely different.
I presume that this is the (unofficial) wireless variant, since MS doesn't sell the device separately, only as a packaged Wireless 360 controller/receiver combo.
First off, don't use the drivers that came in package with the device.
Here's one of the instructions I found:
- Right click on Computer
- Go to Properties
- Click on Device Manager
- Right click on the Unidentified Device
- Go to Properties
- Go to the Drive tab
- Click on Update Driver…
- Browse my computer for driver software...