Finding the Third Proportional to 82,944 and 111,744

Step by Step Solution

1. Step 1: Write the proportion equation
   82,944 : 111,744 = 111,744 : x
2. Step 2: Convert to fraction form
   82,944/111,744 = 111,744/x
3. Step 3: Cross multiply
   82,944x = 111,744 × 111,744
4. Step 4: Simplify right side
   82,944x = 12,486,721,536
5. Step 5: Solve for x
   x = 12,486,721,536/82,944
6. Step 6: Final answer
   x = 150,544