Finding the Third Proportional to 142.38 and 335.13

Step by Step Solution

1. Step 1: Write the proportion equation
   142.38 : 335.13 = 335.13 : x
2. Step 2: Convert to fraction form
   142.38/335.13 = 335.13/x
3. Step 3: Cross multiply
   142.38x = 335.13 × 335.13
4. Step 4: Simplify right side
   142.38x = 112,308.77
5. Step 5: Solve for x
   x = 112,308.77/142.38
6. Step 6: Final answer
   x = 788.82