Finding the Third Proportional to 185.50 and 270.25

Step by Step Solution

1. Step 1: Write the proportion equation
   185.50 : 270.25 = 270.25 : x
2. Step 2: Convert to fraction form
   185.50/270.25 = 270.25/x
3. Step 3: Cross multiply
   185.50x = 270.25 × 270.25
4. Step 4: Simplify right side
   185.50x = 73,035.06
5. Step 5: Solve for x
   x = 73,035.06/185.50
6. Step 6: Final answer
   x = 393.72