Finding the Third Proportional to 59,514 and 130,524

Step by Step Solution

1. Step 1: Write the proportion equation
   59,514 : 130,524 = 130,524 : x
2. Step 2: Convert to fraction form
   59,514/130,524 = 130,524/x
3. Step 3: Cross multiply
   59,514x = 130,524 × 130,524
4. Step 4: Simplify right side
   59,514x = 17,036,514,576
5. Step 5: Solve for x
   x = 17,036,514,576/59,514
6. Step 6: Final answer
   x = 286,260.62