Regular ground "clay" will work. It just might crack on you as it dries out. And it might crack the first couple times you fire up the forge - as the clay ... cures ... with the heat. Just putty in some more clay in/over the cracks.
The bottom on my smaller rectangular portable forge cracked on one side a few years ago. I just drilled a couple holes and bolted some strap iron across it. Last year the other side also cracked. More bolted on strap iron and it's holding up well.
I did not line it with anything. In use, I stack up hard fire bricks around the center - to concentrate the fire. Usually one layer laid flat and one stacked up on edge. Then I move them about as I need "openings" to put iron through to the fire.
Years ago I lined one of the round "rivet" forges with cement. I just mixed up part of a bag of "kwik-crete" - sand mix not rock mix. And then I cured it thoroughly. Plus I fired it up very carefully - to slowly drive out any moisture that might have been left in some of the sand in the cement. I did not want any of those "explosions" from trapped moisture. I did have to patch one section after some use. A crack had developed, and every time I fired it up some more of the lining crumbled. So I patched it - once. Then I moved on to just stacking in fire bricks.
As has already been pointed out, a couple scraps of thick sheet iron laid down on the cast iron does help protect it some from the heat of the fire. But in use, most any cast iron forge will crack at some time. The uneven heating and expansion in the cast iron is the cause, and it's only a matter of time as to when it might crack. Kind of like the cast iron bottoms on the Round Oak wood stoves. They last a long time, but most develope a crack at some point.
Just a few humble thoughts to share. Take them as such.
Mikey - that grumpy ol' German blacksmith out in the Hinterlands
p.s. Now it's time to rest. After being out of commission for the past week and a half, I had to get some work done today. So I forged up 28 flint strikers - in 6 different shapes/styles. Yeah, I pushed it, and now I'm feeling it. But I had to get the work done. All in my continuing efforts to NOT have to ask you if "... you want fries with that?"