I can tell you--I served under the old system, where there wasn't a portal or tasks, but paper and envelopes, and fax machines. My application process took two and a half years. I applied New Years Day of 2000, and left June 9, 2003. Part of the delay for me was that I had some medical issues they wanted to check out, thoroughly and be sure they could support.
In Peace Corps, as in most things, communication is key. Post to the portal, call and talk to some one, but do something to keep in touch with them, and in my experience, if they know you are interested and making an effort, they won't drop you. I just considered that it was part of the weeding out process.