Finding the Third Proportional to 72,409 and 113,505

Step by Step Solution

1. Step 1: Write the proportion equation
   72,409 : 113,505 = 113,505 : x
2. Step 2: Convert to fraction form
   72,409/113,505 = 113,505/x
3. Step 3: Cross multiply
   72,409x = 113,505 × 113,505
4. Step 4: Simplify right side
   72,409x = 12,883,385,025
5. Step 5: Solve for x
   x = 12,883,385,025/72,409
6. Step 6: Final answer
   x = 177,925.19