Finding the Third Proportional to 55,440 and 88,128

Step by Step Solution

1. Step 1: Write the proportion equation
   55,440 : 88,128 = 88,128 : x
2. Step 2: Convert to fraction form
   55,440/88,128 = 88,128/x
3. Step 3: Cross multiply
   55,440x = 88,128 × 88,128
4. Step 4: Simplify right side
   55,440x = 7,766,544,384
5. Step 5: Solve for x
   x = 7,766,544,384/55,440
6. Step 6: Final answer
   x = 140,089.18