Finding the Third Proportional to 519,708 and 777,442.50

Step by Step Solution

1. Step 1: Write the proportion equation
   519,708 : 777,442.50 = 777,442.50 : x
2. Step 2: Convert to fraction form
   519,708/777,442.50 = 777,442.50/x
3. Step 3: Cross multiply
   519,708x = 777,442.50 × 777,442.50
4. Step 4: Simplify right side
   519,708x = 604,416,840,806.25
5. Step 5: Solve for x
   x = 604,416,840,806.25/519,708
6. Step 6: Final answer
   x = 1,162,993.14