Finding the Third Proportional to 402,292 and 596,476.50

Step by Step Solution

1. Step 1: Write the proportion equation
   402,292 : 596,476.50 = 596,476.50 : x
2. Step 2: Convert to fraction form
   402,292/596,476.50 = 596,476.50/x
3. Step 3: Cross multiply
   402,292x = 596,476.50 × 596,476.50
4. Step 4: Simplify right side
   402,292x = 355,784,215,052.25
5. Step 5: Solve for x
   x = 355,784,215,052.25/402,292
6. Step 6: Final answer
   x = 884,392.97