I am having trouble generating a HTML/CSS layout. The best way to think of it is to take a normal horizontally centered page layout. Only I want one div to extend beyond the centered layout to the right edge of the browser window.
This should work fluently with browser window resizing.

Here are two CSS-only methods to achieve layouts like this. Both have been briefly tested in IE 7/8/9 and Chrome.
Example 1
Here’s an example where you know the heights of all your elements.
Demo: http://jsfiddle.net/3RDuy/2/
HTML
CSS
Example 2
Here’s an example where you only know the height of the top and bottom.
Demo: http://jsfiddle.net/3RDuy/3/
HTML
CSS
If you want variable heights on everything (including the ability to have a height greater than 100%) you will probably need to use JavaScript.