Finding the Third Proportional to 516,395 and 782,320.50

Step by Step Solution

1. Step 1: Write the proportion equation
   516,395 : 782,320.50 = 782,320.50 : x
2. Step 2: Convert to fraction form
   516,395/782,320.50 = 782,320.50/x
3. Step 3: Cross multiply
   516,395x = 782,320.50 × 782,320.50
4. Step 4: Simplify right side
   516,395x = 612,025,364,720.25
5. Step 5: Solve for x
   x = 612,025,364,720.25/516,395
6. Step 6: Final answer
   x = 1,185,188.40