Finding the Third Proportional to 185.10 and 270.53

Step by Step Solution

1. Step 1: Write the proportion equation
   185.10 : 270.53 = 270.53 : x
2. Step 2: Convert to fraction form
   185.10/270.53 = 270.53/x
3. Step 3: Cross multiply
   185.10x = 270.53 × 270.53
4. Step 4: Simplify right side
   185.10x = 73,185.04
5. Step 5: Solve for x
   x = 73,185.04/185.10
6. Step 6: Final answer
   x = 395.39