Providing forward secrecy in a terminating TLS connection proxy

An infrastructure delivery platform provides a RSA proxy service as an enhancement to the TLS/SSL protocol to off-load, from an edge server to an external cryptographic server, the decryption of an encrypted pre-master secret. The technique provides forward secrecy in the event that the edge server is compromised, preferably through the use of a cryptographically strong hash function that is implemented separately at both the edge server and the cryptographic server. To provide the forward secrecy for this particular leg, the edge server selects an ephemeral value, and applies a cryptographic hash the value to compute a server random value, which is then transmitted back to the requesting client. That server random value is later re-generated at the cryptographic server to enable the cryptographic server to compute a master secret. The forward secrecy is enabled by ensuring that the ephemeral value does not travel on the wire.