Finding the Third Proportional to 41,344 and 89,128

Step by Step Solution

1. Step 1: Write the proportion equation
   41,344 : 89,128 = 89,128 : x
2. Step 2: Convert to fraction form
   41,344/89,128 = 89,128/x
3. Step 3: Cross multiply
   41,344x = 89,128 × 89,128
4. Step 4: Simplify right side
   41,344x = 7,943,800,384
5. Step 5: Solve for x
   x = 7,943,800,384/41,344
6. Step 6: Final answer
   x = 192,139.13