Finding the Third Proportional to 59,304 and 128,976

Step by Step Solution

1. Step 1: Write the proportion equation
   59,304 : 128,976 = 128,976 : x
2. Step 2: Convert to fraction form
   59,304/128,976 = 128,976/x
3. Step 3: Cross multiply
   59,304x = 128,976 × 128,976
4. Step 4: Simplify right side
   59,304x = 16,634,808,576
5. Step 5: Solve for x
   x = 16,634,808,576/59,304
6. Step 6: Final answer
   x = 280,500.62