https / http Proxy server

I am working on proxy server in VB6 using winsock control, It works fine with normal http sites like www.google.com etc.
But it does not work with https:// sites like www.hotmail.com or rediffmail.com, mail.yahoo.com etc.
I think there is some problem with http headers communication between client-proxy-remote site.
I have downloaded many scripts from the internet, but no one works with https proxy.
Where I will get help to handle http headers through proxy server.

Sample code downloaded from internet is attached to this query.

Pls help!
Thanks in advance