Finding the Third Proportional to 41,152.50 and 89,743.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,152.50 : 89,743.50 = 89,743.50 : x
2. Step 2: Convert to fraction form
   41,152.50/89,743.50 = 89,743.50/x
3. Step 3: Cross multiply
   41,152.50x = 89,743.50 × 89,743.50
4. Step 4: Simplify right side
   41,152.50x = 8,053,895,792.25
5. Step 5: Solve for x
   x = 8,053,895,792.25/41,152.50
6. Step 6: Final answer
   x = 195,708.54