Finding the Third Proportional to 142.38 and 215.00

Step by Step Solution

1. Step 1: Write the proportion equation
   142.38 : 215.00 = 215.00 : x
2. Step 2: Convert to fraction form
   142.38/215.00 = 215.00/x
3. Step 3: Cross multiply
   142.38x = 215.00 × 215.00
4. Step 4: Simplify right side
   142.38x = 46,224.16
5. Step 5: Solve for x
   x = 46,224.16/142.38
6. Step 6: Final answer
   x = 324.65