Finding the Third Proportional to 40,800 and 88,128

Step by Step Solution

1. Step 1: Write the proportion equation
   40,800 : 88,128 = 88,128 : x
2. Step 2: Convert to fraction form
   40,800/88,128 = 88,128/x
3. Step 3: Cross multiply
   40,800x = 88,128 × 88,128
4. Step 4: Simplify right side
   40,800x = 7,766,544,384
5. Step 5: Solve for x
   x = 7,766,544,384/40,800
6. Step 6: Final answer
   x = 190,356.48