Finding the Third Proportional to 402,299 and 596,484.50

Step by Step Solution

1. Step 1: Write the proportion equation
   402,299 : 596,484.50 = 596,484.50 : x
2. Step 2: Convert to fraction form
   402,299/596,484.50 = 596,484.50/x
3. Step 3: Cross multiply
   402,299x = 596,484.50 × 596,484.50
4. Step 4: Simplify right side
   402,299x = 355,793,758,740.25
5. Step 5: Solve for x
   x = 355,793,758,740.25/402,299
6. Step 6: Final answer
   x = 884,401.30