Finding the Third Proportional to 80,357 and 173,674

Step by Step Solution

1. Step 1: Write the proportion equation
   80,357 : 173,674 = 173,674 : x
2. Step 2: Convert to fraction form
   80,357/173,674 = 173,674/x
3. Step 3: Cross multiply
   80,357x = 173,674 × 173,674
4. Step 4: Simplify right side
   80,357x = 30,162,658,276
5. Step 5: Solve for x
   x = 30,162,658,276/80,357
6. Step 6: Final answer
   x = 375,358.19