Finding the Third Proportional to 185.06 and 270.56

Step by Step Solution

1. Step 1: Write the proportion equation
   185.06 : 270.56 = 270.56 : x
2. Step 2: Convert to fraction form
   185.06/270.56 = 270.56/x
3. Step 3: Cross multiply
   185.06x = 270.56 × 270.56
4. Step 4: Simplify right side
   185.06x = 73,204.07
5. Step 5: Solve for x
   x = 73,204.07/185.06
6. Step 6: Final answer
   x = 395.56