As far as i know, the only way to handle this is to use an iFrame. you can put an iFrame in you current applications page and provide the second url in the iFrame using the iframe src.
There are very good reasons why you can't do this. Although pixelsoul has given the technicals, can you imagine if your college shared a host with say a porn site? How would the college feel if the porn site was advertising its link as:
Your idea, although I can see why you'd want to do this, would probably cause your college quite a bit of discomfort.