Finding the Third Proportional to 41,165.50 and 85,560.75

Step by Step Solution

1. Step 1: Write the proportion equation
   41,165.50 : 85,560.75 = 85,560.75 : x
2. Step 2: Convert to fraction form
   41,165.50/85,560.75 = 85,560.75/x
3. Step 3: Cross multiply
   41,165.50x = 85,560.75 × 85,560.75
4. Step 4: Simplify right side
   41,165.50x = 7,320,641,940.56
5. Step 5: Solve for x
   x = 7,320,641,940.56/41,165.50
6. Step 6: Final answer
   x = 177,834.40