Finding the Third Proportional to 77,928 and 111,434

Step by Step Solution

1. Step 1: Write the proportion equation
   77,928 : 111,434 = 111,434 : x
2. Step 2: Convert to fraction form
   77,928/111,434 = 111,434/x
3. Step 3: Cross multiply
   77,928x = 111,434 × 111,434
4. Step 4: Simplify right side
   77,928x = 12,417,536,356
5. Step 5: Solve for x
   x = 12,417,536,356/77,928
6. Step 6: Final answer
   x = 159,346.27