The temperature that steakhouses cook steaks is around 750 F.
For a rare steak most steakhouses cook the steak until it reaches a temperature of 120 F to 130 F with a seared exterior and cool red center.
For a medium rare steak most steakhouses cook the steak until it reaches 130 F to 140 F with a warm, red center and a small ring of pink around the edges of the steak.
For a medium done steak most steakhouses cook the steak until it reaches temperatures of 140 F to 150 F with a warm pink center and a firmer texture.
For a medium well done steak most steak houses cook the steak until it reaches temperatures of between 150 F to 160 F with a slightly pink center and a browned exterior.
For a well done steak most steakhouses cook the steak until it reaches a temperature of 160 F with a grey color throughout the steak and a very firm texture.
A restaurant's wood-fired grill that cooks steaks can reach temperatures that are upwards of 700° F, and fancy steakhouses use infrared grills that can get over 1,000° F.
The best way to replicate those conditions at home when cooking steaks is to use a charcoal grill, but a smoking-hot cast-iron skillet works, too.