Finding the Third Proportional to 77,948 and 111,472

Step by Step Solution

1. Step 1: Write the proportion equation
   77,948 : 111,472 = 111,472 : x
2. Step 2: Convert to fraction form
   77,948/111,472 = 111,472/x
3. Step 3: Cross multiply
   77,948x = 111,472 × 111,472
4. Step 4: Simplify right side
   77,948x = 12,426,006,784
5. Step 5: Solve for x
   x = 12,426,006,784/77,948
6. Step 6: Final answer
   x = 159,414.06