Finding the Third Proportional to 80,831 and 175,654

Step by Step Solution

1. Step 1: Write the proportion equation
   80,831 : 175,654 = 175,654 : x
2. Step 2: Convert to fraction form
   80,831/175,654 = 175,654/x
3. Step 3: Cross multiply
   80,831x = 175,654 × 175,654
4. Step 4: Simplify right side
   80,831x = 30,854,327,716
5. Step 5: Solve for x
   x = 30,854,327,716/80,831
6. Step 6: Final answer
   x = 381,714.04