Finding the Third Proportional to 410,499 and 614,101.50

Step by Step Solution

1. Step 1: Write the proportion equation
   410,499 : 614,101.50 = 614,101.50 : x
2. Step 2: Convert to fraction form
   410,499/614,101.50 = 614,101.50/x
3. Step 3: Cross multiply
   410,499x = 614,101.50 × 614,101.50
4. Step 4: Simplify right side
   410,499x = 377,120,652,302.25
5. Step 5: Solve for x
   x = 377,120,652,302.25/410,499
6. Step 6: Final answer
   x = 918,688.36