Finding the Third Proportional to 41,117.31 and 85,466.71

Step by Step Solution

1. Step 1: Write the proportion equation
   41,117.31 : 85,466.71 = 85,466.71 : x
2. Step 2: Convert to fraction form
   41,117.31/85,466.71 = 85,466.71/x
3. Step 3: Cross multiply
   41,117.31x = 85,466.71 × 85,466.71
4. Step 4: Simplify right side
   41,117.31x = 7,304,558,010.77
5. Step 5: Solve for x
   x = 7,304,558,010.77/41,117.31
6. Step 6: Final answer
   x = 177,651.66