Finding the Third Proportional to 41,164.50 and 85,559.25

Step by Step Solution

1. Step 1: Write the proportion equation
   41,164.50 : 85,559.25 = 85,559.25 : x
2. Step 2: Convert to fraction form
   41,164.50/85,559.25 = 85,559.25/x
3. Step 3: Cross multiply
   41,164.50x = 85,559.25 × 85,559.25
4. Step 4: Simplify right side
   41,164.50x = 7,320,385,260.56
5. Step 5: Solve for x
   x = 7,320,385,260.56/41,164.50
6. Step 6: Final answer
   x = 177,832.48