Finding the Third Proportional to 412,411.50 and 614,729.25

Step by Step Solution

1. Step 1: Write the proportion equation
   412,411.50 : 614,729.25 = 614,729.25 : x
2. Step 2: Convert to fraction form
   412,411.50/614,729.25 = 614,729.25/x
3. Step 3: Cross multiply
   412,411.50x = 614,729.25 × 614,729.25
4. Step 4: Simplify right side
   412,411.50x = 377,892,050,805.56
5. Step 5: Solve for x
   x = 377,892,050,805.56/412,411.50
6. Step 6: Final answer
   x = 916,298.53