Finding the Third Proportional to 119.60 and 185.41

Step by Step Solution

1. Step 1: Write the proportion equation
   119.60 : 185.41 = 185.41 : x
2. Step 2: Convert to fraction form
   119.60/185.41 = 185.41/x
3. Step 3: Cross multiply
   119.60x = 185.41 × 185.41
4. Step 4: Simplify right side
   119.60x = 34,378.37
5. Step 5: Solve for x
   x = 34,378.37/119.60
6. Step 6: Final answer
   x = 287.44