Finding the Third Proportional to 142.31 and 303.38

Step by Step Solution

1. Step 1: Write the proportion equation
   142.31 : 303.38 = 303.38 : x
2. Step 2: Convert to fraction form
   142.31/303.38 = 303.38/x
3. Step 3: Cross multiply
   142.31x = 303.38 × 303.38
4. Step 4: Simplify right side
   142.31x = 92,036.39
5. Step 5: Solve for x
   x = 92,036.39/142.31
6. Step 6: Final answer
   x = 646.72