Finding the Third Proportional to 80,344 and 174,980

Step by Step Solution

1. Step 1: Write the proportion equation
   80,344 : 174,980 = 174,980 : x
2. Step 2: Convert to fraction form
   80,344/174,980 = 174,980/x
3. Step 3: Cross multiply
   80,344x = 174,980 × 174,980
4. Step 4: Simplify right side
   80,344x = 30,618,000,400
5. Step 5: Solve for x
   x = 30,618,000,400/80,344
6. Step 6: Final answer
   x = 381,086.33