Finding the Third Proportional to 114,924 and 243,762

Step by Step Solution

1. Step 1: Write the proportion equation
   114,924 : 243,762 = 243,762 : x
2. Step 2: Convert to fraction form
   114,924/243,762 = 243,762/x
3. Step 3: Cross multiply
   114,924x = 243,762 × 243,762
4. Step 4: Simplify right side
   114,924x = 59,419,912,644
5. Step 5: Solve for x
   x = 59,419,912,644/114,924
6. Step 6: Final answer
   x = 517,036.59