Finding the Third Proportional to 59.80 and 130.04

Step by Step Solution

1. Step 1: Write the proportion equation
   59.80 : 130.04 = 130.04 : x
2. Step 2: Convert to fraction form
   59.80/130.04 = 130.04/x
3. Step 3: Cross multiply
   59.80x = 130.04 × 130.04
4. Step 4: Simplify right side
   59.80x = 16,911.17
5. Step 5: Solve for x
   x = 16,911.17/59.80
6. Step 6: Final answer
   x = 282.79