Finding the Third Proportional to 59.78 and 130.80

Step by Step Solution

1. Step 1: Write the proportion equation
   59.78 : 130.80 = 130.80 : x
2. Step 2: Convert to fraction form
   59.78/130.80 = 130.80/x
3. Step 3: Cross multiply
   59.78x = 130.80 × 130.80
4. Step 4: Simplify right side
   59.78x = 17,107.82
5. Step 5: Solve for x
   x = 17,107.82/59.78
6. Step 6: Final answer
   x = 286.17