Where can I find a research proposal example?
You can find example proposals from other universities by searching the open web via Google (or any other favorite search engine) -- look for URLs ending in .edu. For example, if you will be using Chicago or Turabian style for papers in your paper, search for "Turabian sample research proposal" or "Chicago example research proposal", etc. Turabian is based on Chicago style: you'll find the Chicago examples helpful.
Additional formatting guidelines including APA, Bluebook, and MLA are on the library's website: click "Tutorial & Student Studies Center" on the library homepage, then look in the menu on the left for "Style Manuals". The library accesses the Chicago Manual of Style Online, to which you will find a link. You can find the Chicago style manual in the online book catalog also.
Keep in mind, there are specific formatting requirements for proposals submitted at APUS that may differ from those you see used at other schools. You will find AMU/APU requirements in the End of Program Assessment Manual for Graduate Studies.