Finding the Third Proportional to 59,548 and 130,256

Step by Step Solution

1. Step 1: Write the proportion equation
   59,548 : 130,256 = 130,256 : x
2. Step 2: Convert to fraction form
   59,548/130,256 = 130,256/x
3. Step 3: Cross multiply
   59,548x = 130,256 × 130,256
4. Step 4: Simplify right side
   59,548x = 16,966,625,536
5. Step 5: Solve for x
   x = 16,966,625,536/59,548
6. Step 6: Final answer
   x = 284,923.52