Finding the Third Proportional to 61.13 and 130.78

Step by Step Solution

1. Step 1: Write the proportion equation
   61.13 : 130.78 = 130.78 : x
2. Step 2: Convert to fraction form
   61.13/130.78 = 130.78/x
3. Step 3: Cross multiply
   61.13x = 130.78 × 130.78
4. Step 4: Simplify right side
   61.13x = 17,103.74
5. Step 5: Solve for x
   x = 17,103.74/61.13
6. Step 6: Final answer
   x = 279.82