Finding the Third Proportional to 80,304 and 166,980

Step by Step Solution

1. Step 1: Write the proportion equation
   80,304 : 166,980 = 166,980 : x
2. Step 2: Convert to fraction form
   80,304/166,980 = 166,980/x
3. Step 3: Cross multiply
   80,304x = 166,980 × 166,980
4. Step 4: Simplify right side
   80,304x = 27,882,320,400
5. Step 5: Solve for x
   x = 27,882,320,400/80,304
6. Step 6: Final answer
   x = 347,209.61