Finding the Third Proportional to 59,609 and 130,597

Step by Step Solution

1. Step 1: Write the proportion equation
   59,609 : 130,597 = 130,597 : x
2. Step 2: Convert to fraction form
   59,609/130,597 = 130,597/x
3. Step 3: Cross multiply
   59,609x = 130,597 × 130,597
4. Step 4: Simplify right side
   59,609x = 17,055,576,409
5. Step 5: Solve for x
   x = 17,055,576,409/59,609
6. Step 6: Final answer
   x = 286,124.18