Finding the Third Proportional to 142.94 and 214.37

Step by Step Solution

1. Step 1: Write the proportion equation
   142.94 : 214.37 = 214.37 : x
2. Step 2: Convert to fraction form
   142.94/214.37 = 214.37/x
3. Step 3: Cross multiply
   142.94x = 214.37 × 214.37
4. Step 4: Simplify right side
   142.94x = 45,952.45
5. Step 5: Solve for x
   x = 45,952.45/142.94
6. Step 6: Final answer
   x = 321.49