Finding the Third Proportional to 357,713 and 777,549.50

Step by Step Solution

1. Step 1: Write the proportion equation
   357,713 : 777,549.50 = 777,549.50 : x
2. Step 2: Convert to fraction form
   357,713/777,549.50 = 777,549.50/x
3. Step 3: Cross multiply
   357,713x = 777,549.50 × 777,549.50
4. Step 4: Simplify right side
   357,713x = 604,583,224,950.25
5. Step 5: Solve for x
   x = 604,583,224,950.25/357,713
6. Step 6: Final answer
   x = 1,690,134.90