Finding the Third Proportional to 506,349 and 762,763.50

Step by Step Solution

1. Step 1: Write the proportion equation
   506,349 : 762,763.50 = 762,763.50 : x
2. Step 2: Convert to fraction form
   506,349/762,763.50 = 762,763.50/x
3. Step 3: Cross multiply
   506,349x = 762,763.50 × 762,763.50
4. Step 4: Simplify right side
   506,349x = 581,808,156,932.25
5. Step 5: Solve for x
   x = 581,808,156,932.25/506,349
6. Step 6: Final answer
   x = 1,149,025.98