Finding the Third Proportional to 59,675 and 130,002

Step by Step Solution

1. Step 1: Write the proportion equation
   59,675 : 130,002 = 130,002 : x
2. Step 2: Convert to fraction form
   59,675/130,002 = 130,002/x
3. Step 3: Cross multiply
   59,675x = 130,002 × 130,002
4. Step 4: Simplify right side
   59,675x = 16,900,520,004
5. Step 5: Solve for x
   x = 16,900,520,004/59,675
6. Step 6: Final answer
   x = 283,209.38