Finding the Third Proportional to 80,684 and 174,974

Step by Step Solution

1. Step 1: Write the proportion equation
   80,684 : 174,974 = 174,974 : x
2. Step 2: Convert to fraction form
   80,684/174,974 = 174,974/x
3. Step 3: Cross multiply
   80,684x = 174,974 × 174,974
4. Step 4: Simplify right side
   80,684x = 30,615,900,676
5. Step 5: Solve for x
   x = 30,615,900,676/80,684
6. Step 6: Final answer
   x = 379,454.42