Finding the Third Proportional to 41,080.50 and 89,695.69

Step by Step Solution

1. Step 1: Write the proportion equation
   41,080.50 : 89,695.69 = 89,695.69 : x
2. Step 2: Convert to fraction form
   41,080.50/89,695.69 = 89,695.69/x
3. Step 3: Cross multiply
   41,080.50x = 89,695.69 × 89,695.69
4. Step 4: Simplify right side
   41,080.50x = 8,045,316,356.10
5. Step 5: Solve for x
   x = 8,045,316,356.10/41,080.50
6. Step 6: Final answer
   x = 195,842.71