Finding the Third Proportional to 186,508 and 402,499

Step by Step Solution

1. Step 1: Write the proportion equation
   186,508 : 402,499 = 402,499 : x
2. Step 2: Convert to fraction form
   186,508/402,499 = 402,499/x
3. Step 3: Cross multiply
   186,508x = 402,499 × 402,499
4. Step 4: Simplify right side
   186,508x = 162,005,445,001
5. Step 5: Solve for x
   x = 162,005,445,001/186,508
6. Step 6: Final answer
   x = 868,624.64