Finding the Third Proportional to 82,374 and 111,879

Step by Step Solution

1. Step 1: Write the proportion equation
   82,374 : 111,879 = 111,879 : x
2. Step 2: Convert to fraction form
   82,374/111,879 = 111,879/x
3. Step 3: Cross multiply
   82,374x = 111,879 × 111,879
4. Step 4: Simplify right side
   82,374x = 12,516,910,641
5. Step 5: Solve for x
   x = 12,516,910,641/82,374
6. Step 6: Final answer
   x = 151,952.20