Finding the Third Proportional to 80,716 and 159,364

Step by Step Solution

1. Step 1: Write the proportion equation
   80,716 : 159,364 = 159,364 : x
2. Step 2: Convert to fraction form
   80,716/159,364 = 159,364/x
3. Step 3: Cross multiply
   80,716x = 159,364 × 159,364
4. Step 4: Simplify right side
   80,716x = 25,396,884,496
5. Step 5: Solve for x
   x = 25,396,884,496/80,716
6. Step 6: Final answer
   x = 314,644.98