Finding the Third Proportional to 74,416 and 108,870

Step by Step Solution

1. Step 1: Write the proportion equation
   74,416 : 108,870 = 108,870 : x
2. Step 2: Convert to fraction form
   74,416/108,870 = 108,870/x
3. Step 3: Cross multiply
   74,416x = 108,870 × 108,870
4. Step 4: Simplify right side
   74,416x = 11,852,676,900
5. Step 5: Solve for x
   x = 11,852,676,900/74,416
6. Step 6: Final answer
   x = 159,275.92