Finding the Third Proportional to 512,529 and 781,429.50

Step by Step Solution

1. Step 1: Write the proportion equation
   512,529 : 781,429.50 = 781,429.50 : x
2. Step 2: Convert to fraction form
   512,529/781,429.50 = 781,429.50/x
3. Step 3: Cross multiply
   512,529x = 781,429.50 × 781,429.50
4. Step 4: Simplify right side
   512,529x = 610,632,063,470.25
5. Step 5: Solve for x
   x = 610,632,063,470.25/512,529
6. Step 6: Final answer
   x = 1,191,409.78