Finding the Third Proportional to 41,118.75 and 85,469.63

Step by Step Solution

1. Step 1: Write the proportion equation
   41,118.75 : 85,469.63 = 85,469.63 : x
2. Step 2: Convert to fraction form
   41,118.75/85,469.63 = 85,469.63/x
3. Step 3: Cross multiply
   41,118.75x = 85,469.63 × 85,469.63
4. Step 4: Simplify right side
   41,118.75x = 7,305,056,797.64
5. Step 5: Solve for x
   x = 7,305,056,797.64/41,118.75
6. Step 6: Final answer
   x = 177,657.56