Finding the Third Proportional to 59,596 and 130,571

Step by Step Solution

1. Step 1: Write the proportion equation
   59,596 : 130,571 = 130,571 : x
2. Step 2: Convert to fraction form
   59,596/130,571 = 130,571/x
3. Step 3: Cross multiply
   59,596x = 130,571 × 130,571
4. Step 4: Simplify right side
   59,596x = 17,048,786,041
5. Step 5: Solve for x
   x = 17,048,786,041/59,596
6. Step 6: Final answer
   x = 286,072.66