Finding the Third Proportional to 402,252 and 596,420.50

Step by Step Solution

1. Step 1: Write the proportion equation
   402,252 : 596,420.50 = 596,420.50 : x
2. Step 2: Convert to fraction form
   402,252/596,420.50 = 596,420.50/x
3. Step 3: Cross multiply
   402,252x = 596,420.50 × 596,420.50
4. Step 4: Simplify right side
   402,252x = 355,717,412,820.25
5. Step 5: Solve for x
   x = 355,717,412,820.25/402,252
6. Step 6: Final answer
   x = 884,314.84