Finding the Third Proportional to 41,142 and 89,717.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,142 : 89,717.50 = 89,717.50 : x
2. Step 2: Convert to fraction form
   41,142/89,717.50 = 89,717.50/x
3. Step 3: Cross multiply
   41,142x = 89,717.50 × 89,717.50
4. Step 4: Simplify right side
   41,142x = 8,049,229,806.25
5. Step 5: Solve for x
   x = 8,049,229,806.25/41,142
6. Step 6: Final answer
   x = 195,645.08