Finding the Third Proportional to 383,952 and 516,877.50

Step by Step Solution

1. Step 1: Write the proportion equation
   383,952 : 516,877.50 = 516,877.50 : x
2. Step 2: Convert to fraction form
   383,952/516,877.50 = 516,877.50/x
3. Step 3: Cross multiply
   383,952x = 516,877.50 × 516,877.50
4. Step 4: Simplify right side
   383,952x = 267,162,350,006.25
5. Step 5: Solve for x
   x = 267,162,350,006.25/383,952
6. Step 6: Final answer
   x = 695,822.26