Finding the Third Proportional to 146.50 and 272.50

Step by Step Solution

1. Step 1: Write the proportion equation
   146.50 : 272.50 = 272.50 : x
2. Step 2: Convert to fraction form
   146.50/272.50 = 272.50/x
3. Step 3: Cross multiply
   146.50x = 272.50 × 272.50
4. Step 4: Simplify right side
   146.50x = 74,256.25
5. Step 5: Solve for x
   x = 74,256.25/146.50
6. Step 6: Final answer
   x = 506.87