Finding the Third Proportional to 82,944 and 108,864

Step by Step Solution

1. Step 1: Write the proportion equation
   82,944 : 108,864 = 108,864 : x
2. Step 2: Convert to fraction form
   82,944/108,864 = 108,864/x
3. Step 3: Cross multiply
   82,944x = 108,864 × 108,864
4. Step 4: Simplify right side
   82,944x = 11,851,370,496
5. Step 5: Solve for x
   x = 11,851,370,496/82,944
6. Step 6: Final answer
   x = 142,884