Finding the Third Proportional to 41,002 and 85,486

Step by Step Solution

1. Step 1: Write the proportion equation
   41,002 : 85,486 = 85,486 : x
2. Step 2: Convert to fraction form
   41,002/85,486 = 85,486/x
3. Step 3: Cross multiply
   41,002x = 85,486 × 85,486
4. Step 4: Simplify right side
   41,002x = 7,307,856,196
5. Step 5: Solve for x
   x = 7,307,856,196/41,002
6. Step 6: Final answer
   x = 178,231.70