Finding the Third Proportional to 41,138 and 87,466

Step by Step Solution

1. Step 1: Write the proportion equation
   41,138 : 87,466 = 87,466 : x
2. Step 2: Convert to fraction form
   41,138/87,466 = 87,466/x
3. Step 3: Cross multiply
   41,138x = 87,466 × 87,466
4. Step 4: Simplify right side
   41,138x = 7,650,301,156
5. Step 5: Solve for x
   x = 7,650,301,156/41,138
6. Step 6: Final answer
   x = 185,966.77