Finding the Third Proportional to 40,568 and 89,128

Step by Step Solution

1. Step 1: Write the proportion equation
   40,568 : 89,128 = 89,128 : x
2. Step 2: Convert to fraction form
   40,568/89,128 = 89,128/x
3. Step 3: Cross multiply
   40,568x = 89,128 × 89,128
4. Step 4: Simplify right side
   40,568x = 7,943,800,384
5. Step 5: Solve for x
   x = 7,943,800,384/40,568
6. Step 6: Final answer
   x = 195,814.44