Finding the Third Proportional to 74,416 and 111,864

Step by Step Solution

1. Step 1: Write the proportion equation
   74,416 : 111,864 = 111,864 : x
2. Step 2: Convert to fraction form
   74,416/111,864 = 111,864/x
3. Step 3: Cross multiply
   74,416x = 111,864 × 111,864
4. Step 4: Simplify right side
   74,416x = 12,513,554,496
5. Step 5: Solve for x
   x = 12,513,554,496/74,416
6. Step 6: Final answer
   x = 168,156.77