Finding the Third Proportional to 41,132 and 85,180

Step by Step Solution

1. Step 1: Write the proportion equation
   41,132 : 85,180 = 85,180 : x
2. Step 2: Convert to fraction form
   41,132/85,180 = 85,180/x
3. Step 3: Cross multiply
   41,132x = 85,180 × 85,180
4. Step 4: Simplify right side
   41,132x = 7,255,632,400
5. Step 5: Solve for x
   x = 7,255,632,400/41,132
6. Step 6: Final answer
   x = 176,398.73