Finding the Third Proportional to 59,434 and 130,530

Step by Step Solution

1. Step 1: Write the proportion equation
   59,434 : 130,530 = 130,530 : x
2. Step 2: Convert to fraction form
   59,434/130,530 = 130,530/x
3. Step 3: Cross multiply
   59,434x = 130,530 × 130,530
4. Step 4: Simplify right side
   59,434x = 17,038,080,900
5. Step 5: Solve for x
   x = 17,038,080,900/59,434
6. Step 6: Final answer
   x = 286,672.29