Finding the Third Proportional to 41,186 and 89,764

Step by Step Solution

1. Step 1: Write the proportion equation
   41,186 : 89,764 = 89,764 : x
2. Step 2: Convert to fraction form
   41,186/89,764 = 89,764/x
3. Step 3: Cross multiply
   41,186x = 89,764 × 89,764
4. Step 4: Simplify right side
   41,186x = 8,057,575,696
5. Step 5: Solve for x
   x = 8,057,575,696/41,186
6. Step 6: Final answer
   x = 195,638.70