Finding the Third Proportional to 142.13 and 300.75

Step by Step Solution

1. Step 1: Write the proportion equation
   142.13 : 300.75 = 300.75 : x
2. Step 2: Convert to fraction form
   142.13/300.75 = 300.75/x
3. Step 3: Cross multiply
   142.13x = 300.75 × 300.75
4. Step 4: Simplify right side
   142.13x = 90,450.56
5. Step 5: Solve for x
   x = 90,450.56/142.13
6. Step 6: Final answer
   x = 636.42