Finding the Third Proportional to 80,298 and 171,668

Step by Step Solution

1. Step 1: Write the proportion equation
   80,298 : 171,668 = 171,668 : x
2. Step 2: Convert to fraction form
   80,298/171,668 = 171,668/x
3. Step 3: Cross multiply
   80,298x = 171,668 × 171,668
4. Step 4: Simplify right side
   80,298x = 29,469,902,224
5. Step 5: Solve for x
   x = 29,469,902,224/80,298
6. Step 6: Final answer
   x = 367,006.68