Finding the Third Proportional to 142.38 and 301.85

Step by Step Solution

1. Step 1: Write the proportion equation
   142.38 : 301.85 = 301.85 : x
2. Step 2: Convert to fraction form
   142.38/301.85 = 301.85/x
3. Step 3: Cross multiply
   142.38x = 301.85 × 301.85
4. Step 4: Simplify right side
   142.38x = 91,114.37
5. Step 5: Solve for x
   x = 91,114.37/142.38
6. Step 6: Final answer
   x = 639.93