Finding the Third Proportional to 142.80 and 208.41

Step by Step Solution

1. Step 1: Write the proportion equation
   142.80 : 208.41 = 208.41 : x
2. Step 2: Convert to fraction form
   142.80/208.41 = 208.41/x
3. Step 3: Cross multiply
   142.80x = 208.41 × 208.41
4. Step 4: Simplify right side
   142.80x = 43,433.17
5. Step 5: Solve for x
   x = 43,433.17/142.80
6. Step 6: Final answer
   x = 304.14