Finding the Third Proportional to 54,009 and 113,499

Step by Step Solution

1. Step 1: Write the proportion equation
   54,009 : 113,499 = 113,499 : x
2. Step 2: Convert to fraction form
   54,009/113,499 = 113,499/x
3. Step 3: Cross multiply
   54,009x = 113,499 × 113,499
4. Step 4: Simplify right side
   54,009x = 12,882,023,001
5. Step 5: Solve for x
   x = 12,882,023,001/54,009
6. Step 6: Final answer
   x = 238,516.23