Finding the Third Proportional to 41,014 and 89,686

Step by Step Solution

1. Step 1: Write the proportion equation
   41,014 : 89,686 = 89,686 : x
2. Step 2: Convert to fraction form
   41,014/89,686 = 89,686/x
3. Step 3: Cross multiply
   41,014x = 89,686 × 89,686
4. Step 4: Simplify right side
   41,014x = 8,043,578,596
5. Step 5: Solve for x
   x = 8,043,578,596/41,014
6. Step 6: Final answer
   x = 196,117.88