Finding the Third Proportional to 146.53 and 270.56

Step by Step Solution

1. Step 1: Write the proportion equation
   146.53 : 270.56 = 270.56 : x
2. Step 2: Convert to fraction form
   146.53/270.56 = 270.56/x
3. Step 3: Cross multiply
   146.53x = 270.56 × 270.56
4. Step 4: Simplify right side
   146.53x = 73,204.07
5. Step 5: Solve for x
   x = 73,204.07/146.53
6. Step 6: Final answer
   x = 499.58