Finding the Third Proportional to 77,912 and 111,414

Step by Step Solution

1. Step 1: Write the proportion equation
   77,912 : 111,414 = 111,414 : x
2. Step 2: Convert to fraction form
   77,912/111,414 = 111,414/x
3. Step 3: Cross multiply
   77,912x = 111,414 × 111,414
4. Step 4: Simplify right side
   77,912x = 12,413,079,396
5. Step 5: Solve for x
   x = 12,413,079,396/77,912
6. Step 6: Final answer
   x = 159,321.79