Finding the Third Proportional to 512.63 and 792.56

Step by Step Solution

1. Step 1: Write the proportion equation
   512.63 : 792.56 = 792.56 : x
2. Step 2: Convert to fraction form
   512.63/792.56 = 792.56/x
3. Step 3: Cross multiply
   512.63x = 792.56 × 792.56
4. Step 4: Simplify right side
   512.63x = 628,155.32
5. Step 5: Solve for x
   x = 628,155.32/512.63
6. Step 6: Final answer
   x = 1,225.37