Finding the Third Proportional to 59,728 and 130,400

Step by Step Solution

1. Step 1: Write the proportion equation
   59,728 : 130,400 = 130,400 : x
2. Step 2: Convert to fraction form
   59,728/130,400 = 130,400/x
3. Step 3: Cross multiply
   59,728x = 130,400 × 130,400
4. Step 4: Simplify right side
   59,728x = 17,004,160,000
5. Step 5: Solve for x
   x = 17,004,160,000/59,728
6. Step 6: Final answer
   x = 284,693.28