The long way:
Create new X and Y columns for your polygon table (Table>Maintenance>Table Structure)
Then update the new columns with the centroid coordinates:
- Table>Update Column
- Select your polygon table and then the X column you previously created.
- Set "Get Value From Table" to your polygon table
- Set "Value" to "centroidx(obj)" (without the quotes)
- Press OK
- Repeat with the Y column ensuring you also change the centroidX(obj) to centroidY(obj)
The short way:
- Go to: Tools>Tool Manager
- Enable and then run the "Coordinate Extractor" Tool
Hope that helps