Finding the Third Proportional to 402,257.50 and 596,424

Step by Step Solution

1. Step 1: Write the proportion equation
   402,257.50 : 596,424 = 596,424 : x
2. Step 2: Convert to fraction form
   402,257.50/596,424 = 596,424/x
3. Step 3: Cross multiply
   402,257.50x = 596,424 × 596,424
4. Step 4: Simplify right side
   402,257.50x = 355,721,587,776
5. Step 5: Solve for x
   x = 355,721,587,776/402,257.50
6. Step 6: Final answer
   x = 884,313.13