overflow for a table cell

I'm hoping to develop a website which is essentially a 3x3 table, with the central cell being the one which will contain most of the content. The surrounding ones will just be navigation and menus. These will all have a fixed pixel size, and I want the middle cell to expand to fill the rest of the screen. Is there any way I can ensure only the middle cell scrolls? I've tried fiddling with the css overflow property, but it never seems to work.

Thanks.