Finding the Third Proportional to 41,017 and 89,446

Step by Step Solution

1. Step 1: Write the proportion equation
   41,017 : 89,446 = 89,446 : x
2. Step 2: Convert to fraction form
   41,017/89,446 = 89,446/x
3. Step 3: Cross multiply
   41,017x = 89,446 × 89,446
4. Step 4: Simplify right side
   41,017x = 8,000,586,916
5. Step 5: Solve for x
   x = 8,000,586,916/41,017
6. Step 6: Final answer
   x = 195,055.39