Finding the Third Proportional to 41,057 and 89,698

Step by Step Solution

1. Step 1: Write the proportion equation
   41,057 : 89,698 = 89,698 : x
2. Step 2: Convert to fraction form
   41,057/89,698 = 89,698/x
3. Step 3: Cross multiply
   41,057x = 89,698 × 89,698
4. Step 4: Simplify right side
   41,057x = 8,045,731,204
5. Step 5: Solve for x
   x = 8,045,731,204/41,057
6. Step 6: Final answer
   x = 195,964.91