Finding the Third Proportional to 243,687 and 363,510

Step by Step Solution

1. Step 1: Write the proportion equation
   243,687 : 363,510 = 363,510 : x
2. Step 2: Convert to fraction form
   243,687/363,510 = 363,510/x
3. Step 3: Cross multiply
   243,687x = 363,510 × 363,510
4. Step 4: Simplify right side
   243,687x = 132,139,520,100
5. Step 5: Solve for x
   x = 132,139,520,100/243,687
6. Step 6: Final answer
   x = 542,251.00