Finding the Third Proportional to 72,407 and 113,502

Step by Step Solution

1. Step 1: Write the proportion equation
   72,407 : 113,502 = 113,502 : x
2. Step 2: Convert to fraction form
   72,407/113,502 = 113,502/x
3. Step 3: Cross multiply
   72,407x = 113,502 × 113,502
4. Step 4: Simplify right side
   72,407x = 12,882,704,004
5. Step 5: Solve for x
   x = 12,882,704,004/72,407
6. Step 6: Final answer
   x = 177,920.70