Finding the Third Proportional to 80,321 and 169,684

Step by Step Solution

1. Step 1: Write the proportion equation
   80,321 : 169,684 = 169,684 : x
2. Step 2: Convert to fraction form
   80,321/169,684 = 169,684/x
3. Step 3: Cross multiply
   80,321x = 169,684 × 169,684
4. Step 4: Simplify right side
   80,321x = 28,792,659,856
5. Step 5: Solve for x
   x = 28,792,659,856/80,321
6. Step 6: Final answer
   x = 358,469.89