Handle HTTPS Request in Proxy Server by C# ( CONNECT Tunnel )

I'm trying to write a Home Proxy Server in C# and I almost succeeded but I have problem to handle HTTPS requests (CONNECT).

I don't know really how to handle this type of requests.

In my studies I realized that for this requests we must to connect client to target host directly.

Steps for these requests (that I realized):

• Receive first request from client (CONNECT https://www.example.ltd:443 HTTP/1.1) and send that to target host
• Send HTTP/1.1 200 Connection Established\r\n\r\n to client
• Listen to both sockets (client and target host) and send receives from each other to each other
• Listen until one of sockets disconnected

Is this correct? If it ok, how handle this by c# ?