Finding the Third Proportional to 55.69 and 119.53

Step by Step Solution

1. Step 1: Write the proportion equation
   55.69 : 119.53 = 119.53 : x
2. Step 2: Convert to fraction form
   55.69/119.53 = 119.53/x
3. Step 3: Cross multiply
   55.69x = 119.53 × 119.53
4. Step 4: Simplify right side
   55.69x = 14,287.72
5. Step 5: Solve for x
   x = 14,287.72/55.69
6. Step 6: Final answer
   x = 256.57