Finding the Third Proportional to 512.72 and 792.98

Step by Step Solution

1. Step 1: Write the proportion equation
   512.72 : 792.98 = 792.98 : x
2. Step 2: Convert to fraction form
   512.72/792.98 = 792.98/x
3. Step 3: Cross multiply
   512.72x = 792.98 × 792.98
4. Step 4: Simplify right side
   512.72x = 628,824.22
5. Step 5: Solve for x
   x = 628,824.22/512.72
6. Step 6: Final answer
   x = 1,226.45