Finding the Third Proportional to 80,401 and 169,856

Step by Step Solution

1. Step 1: Write the proportion equation
   80,401 : 169,856 = 169,856 : x
2. Step 2: Convert to fraction form
   80,401/169,856 = 169,856/x
3. Step 3: Cross multiply
   80,401x = 169,856 × 169,856
4. Step 4: Simplify right side
   80,401x = 28,851,060,736
5. Step 5: Solve for x
   x = 28,851,060,736/80,401
6. Step 6: Final answer
   x = 358,839.58