Will not be durable. Either replace the cable or get a short length of the same size and use wire rope clamps to splice it.

Here is a link that might be useful: Clamps.

What you can try is to get a piece of tubing (aluminum or copper) that has about the same inside diameter as the cable. Cut the tubing to about 3" long, fill with JB Weld, and insert the ends of the broken cable.

I have one of those on my couch, and was able to get a new one from the furniture store. In fact, they gave me two (for when the new one breaks).