Finding the Third Proportional to 142.38 and 330.33

Step by Step Solution

1. Step 1: Write the proportion equation
   142.38 : 330.33 = 330.33 : x
2. Step 2: Convert to fraction form
   142.38/330.33 = 330.33/x
3. Step 3: Cross multiply
   142.38x = 330.33 × 330.33
4. Step 4: Simplify right side
   142.38x = 109,116.67
5. Step 5: Solve for x
   x = 109,116.67/142.38
6. Step 6: Final answer
   x = 766.36