Finding the Third Proportional to 41,123.06 and 89,682.75

Step by Step Solution

1. Step 1: Write the proportion equation
   41,123.06 : 89,682.75 = 89,682.75 : x
2. Step 2: Convert to fraction form
   41,123.06/89,682.75 = 89,682.75/x
3. Step 3: Cross multiply
   41,123.06x = 89,682.75 × 89,682.75
4. Step 4: Simplify right side
   41,123.06x = 8,042,995,647.56
5. Step 5: Solve for x
   x = 8,042,995,647.56/41,123.06
6. Step 6: Final answer
   x = 195,583.58