Finding the Third Proportional to 77,892 and 111,006

Step by Step Solution

1. Step 1: Write the proportion equation
   77,892 : 111,006 = 111,006 : x
2. Step 2: Convert to fraction form
   77,892/111,006 = 111,006/x
3. Step 3: Cross multiply
   77,892x = 111,006 × 111,006
4. Step 4: Simplify right side
   77,892x = 12,322,332,036
5. Step 5: Solve for x
   x = 12,322,332,036/77,892
6. Step 6: Final answer
   x = 158,197.66