Finding the Third Proportional to 142.31 and 214.03

Step by Step Solution

1. Step 1: Write the proportion equation
   142.31 : 214.03 = 214.03 : x
2. Step 2: Convert to fraction form
   142.31/214.03 = 214.03/x
3. Step 3: Cross multiply
   142.31x = 214.03 × 214.03
4. Step 4: Simplify right side
   142.31x = 45,809.38
5. Step 5: Solve for x
   x = 45,809.38/142.31
6. Step 6: Final answer
   x = 321.89