Finding the Third Proportional to 41,065 and 89,338

Step by Step Solution

1. Step 1: Write the proportion equation
   41,065 : 89,338 = 89,338 : x
2. Step 2: Convert to fraction form
   41,065/89,338 = 89,338/x
3. Step 3: Cross multiply
   41,065x = 89,338 × 89,338
4. Step 4: Simplify right side
   41,065x = 7,981,278,244
5. Step 5: Solve for x
   x = 7,981,278,244/41,065
6. Step 6: Final answer
   x = 194,357.20