Finding the Third Proportional to 80,724 and 159,372

Step by Step Solution

1. Step 1: Write the proportion equation
   80,724 : 159,372 = 159,372 : x
2. Step 2: Convert to fraction form
   80,724/159,372 = 159,372/x
3. Step 3: Cross multiply
   80,724x = 159,372 × 159,372
4. Step 4: Simplify right side
   80,724x = 25,399,434,384
5. Step 5: Solve for x
   x = 25,399,434,384/80,724
6. Step 6: Final answer
   x = 314,645.39