How to make a proxy through a router on several computers?

Question

linux

Greetings.
I’ll say right away - I’m only a programmer, although I know how to use Google, I’m sure that I won’t be able to type in the request correctly, so I’m writing here and I really hope for your help.
The task is this. There is a computer aka a router, through it there is a network for the n-th number of computers. Through the router, you need to configure the proxy so that all "child" computers have different IPs that are proxied by this router, and each computer has its own external address through its proxy.
I'm not strong in all this, I think it's an easy task. I prefer linux-way solutions.

Answer 1

You probably don’t need a proxy, but enable NAT - a little shamanism with /etc/sysctl.conf (the option is usually there and signed) and a bunch of iptables/ipfw rules or whatever you have in your distribution that configures the firewall., and if you have a pool external ipishnikov, prescribe to which internal client which external ipshnik should be issued in the firewall rules.
The proxy "hides" everyone behind its IP address, and is not very suitable for this task.
read the manual for your Linux distribution, which is more familiar to you, how this is done.

Answer 2

what you are trying to do is called arp-proxy if I understand you correctly.
Is there a pool of external addresses that was taken from the Internet provider and now they need to be forwarded through one router aka PC to LAN and assigned to the necessary PCs? Or just through the router you need to distribute the Internet?