Finding the Third Proportional to 647.72 and 925.59

Step by Step Solution

1. Step 1: Write the proportion equation
   647.72 : 925.59 = 925.59 : x
2. Step 2: Convert to fraction form
   647.72/925.59 = 925.59/x
3. Step 3: Cross multiply
   647.72x = 925.59 × 925.59
4. Step 4: Simplify right side
   647.72x = 856,723.79
5. Step 5: Solve for x
   x = 856,723.79/647.72
6. Step 6: Final answer
   x = 1,322.68