Finding the Third Proportional to 73,742 and 113,499

Step by Step Solution

1. Step 1: Write the proportion equation
   73,742 : 113,499 = 113,499 : x
2. Step 2: Convert to fraction form
   73,742/113,499 = 113,499/x
3. Step 3: Cross multiply
   73,742x = 113,499 × 113,499
4. Step 4: Simplify right side
   73,742x = 12,882,023,001
5. Step 5: Solve for x
   x = 12,882,023,001/73,742
6. Step 6: Final answer
   x = 174,690.45