Finding the Third Proportional to 519,465 and 812,002.50

Step by Step Solution

1. Step 1: Write the proportion equation
   519,465 : 812,002.50 = 812,002.50 : x
2. Step 2: Convert to fraction form
   519,465/812,002.50 = 812,002.50/x
3. Step 3: Cross multiply
   519,465x = 812,002.50 × 812,002.50
4. Step 4: Simplify right side
   519,465x = 659,348,060,006.25
5. Step 5: Solve for x
   x = 659,348,060,006.25/519,465
6. Step 6: Final answer
   x = 1,269,282.94