Using IIS to 'Serve Up' another WebServer

I am having so much trouble with this

I have a WebServer running IIS (ServerA)
and another WebServer not running IIS (ServerB)

They are on the same network, but ServerA is getting the internet connection, and sharing it.
Server B is essentially 'behind' ServerA

I want ServerA to be able to be the 'mediator' between the client and ServerB.
essentially the client will type in a specific URL, and ServerA will mediate between the client and ServerB over HTTP, routing the packets back and fourth.

Can I do this through IIS, and if not, then how do i do it at all?

Hello Perfect-Newb

Sounds like we have a similar issue.

I can surf my 2nd non IIS webserver but only by IP address, not by FQDN (fully qualified domain name)

I had to open a port in ICS for this to work and also had to configure my 2nd webserver to use a different port ie: not port 80

Can u surf your 2nd webserver from the Internet by either IP or FQDN ?

Have you tried a google search, there may be some IIS add-on that will do the trick. Or more likely some kind of DNS redirection, if something like that exists.