Finding the Third Proportional to 402,286 and 596,465.50

Step by Step Solution

1. Step 1: Write the proportion equation
   402,286 : 596,465.50 = 596,465.50 : x
2. Step 2: Convert to fraction form
   402,286/596,465.50 = 596,465.50/x
3. Step 3: Cross multiply
   402,286x = 596,465.50 × 596,465.50
4. Step 4: Simplify right side
   402,286x = 355,771,092,690.25
5. Step 5: Solve for x
   x = 355,771,092,690.25/402,286
6. Step 6: Final answer
   x = 884,373.54