Finding the Third Proportional to 77,892 and 111,387.56

Step by Step Solution

1. Step 1: Write the proportion equation
   77,892 : 111,387.56 = 111,387.56 : x
2. Step 2: Convert to fraction form
   77,892/111,387.56 = 111,387.56/x
3. Step 3: Cross multiply
   77,892x = 111,387.56 × 111,387.56
4. Step 4: Simplify right side
   77,892x = 12,407,189,079.69
5. Step 5: Solve for x
   x = 12,407,189,079.69/77,892
6. Step 6: Final answer
   x = 159,287.08