Finding the Third Proportional to 142.50 and 272.25

Step by Step Solution

1. Step 1: Write the proportion equation
   142.50 : 272.25 = 272.25 : x
2. Step 2: Convert to fraction form
   142.50/272.25 = 272.25/x
3. Step 3: Cross multiply
   142.50x = 272.25 × 272.25
4. Step 4: Simplify right side
   142.50x = 74,120.06
5. Step 5: Solve for x
   x = 74,120.06/142.50
6. Step 6: Final answer
   x = 520.14