Finding the Third Proportional to 41,409 and 85,856

Step by Step Solution

1. Step 1: Write the proportion equation
   41,409 : 85,856 = 85,856 : x
2. Step 2: Convert to fraction form
   41,409/85,856 = 85,856/x
3. Step 3: Cross multiply
   41,409x = 85,856 × 85,856
4. Step 4: Simplify right side
   41,409x = 7,371,252,736
5. Step 5: Solve for x
   x = 7,371,252,736/41,409
6. Step 6: Final answer
   x = 178,010.88