Finding the Third Proportional to 59,682 and 130,020

Step by Step Solution

1. Step 1: Write the proportion equation
   59,682 : 130,020 = 130,020 : x
2. Step 2: Convert to fraction form
   59,682/130,020 = 130,020/x
3. Step 3: Cross multiply
   59,682x = 130,020 × 130,020
4. Step 4: Simplify right side
   59,682x = 16,905,200,400
5. Step 5: Solve for x
   x = 16,905,200,400/59,682
6. Step 6: Final answer
   x = 283,254.59