Finding the Third Proportional to 119.53 and 185.48

Step by Step Solution

1. Step 1: Write the proportion equation
   119.53 : 185.48 = 185.48 : x
2. Step 2: Convert to fraction form
   119.53/185.48 = 185.48/x
3. Step 3: Cross multiply
   119.53x = 185.48 × 185.48
4. Step 4: Simplify right side
   119.53x = 34,404.45
5. Step 5: Solve for x
   x = 34,404.45/119.53
6. Step 6: Final answer
   x = 287.83