Finding the Third Proportional to 81,401 and 169,039

Step by Step Solution

1. Step 1: Write the proportion equation
   81,401 : 169,039 = 169,039 : x
2. Step 2: Convert to fraction form
   81,401/169,039 = 169,039/x
3. Step 3: Cross multiply
   81,401x = 169,039 × 169,039
4. Step 4: Simplify right side
   81,401x = 28,574,183,521
5. Step 5: Solve for x
   x = 28,574,183,521/81,401
6. Step 6: Final answer
   x = 351,029.88