Public & local server redirect traffic to another local server on our network

We've got a server that has a public ip, people can access it from the net, and it runs apache that listens to a domain pointed at that ip. I was wondering if its possible for the public server to redirect traffic from a different subdomain to a local server on our network. The public server is on our network.

So the local server cannot be access directly from the net, only thru our public server. We just want a different subdomain pointed to public box which will redirect to the local server. Thanks in advance.

 

 

 

 

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