Finding the Third Proportional to 81,668 and 175,849

Step by Step Solution

1. Step 1: Write the proportion equation
   81,668 : 175,849 = 175,849 : x
2. Step 2: Convert to fraction form
   81,668/175,849 = 175,849/x
3. Step 3: Cross multiply
   81,668x = 175,849 × 175,849
4. Step 4: Simplify right side
   81,668x = 30,922,870,801
5. Step 5: Solve for x
   x = 30,922,870,801/81,668
6. Step 6: Final answer
   x = 378,641.22