Finding the Third Proportional to 142.59 and 301.22

Step by Step Solution

1. Step 1: Write the proportion equation
   142.59 : 301.22 = 301.22 : x
2. Step 2: Convert to fraction form
   142.59/301.22 = 301.22/x
3. Step 3: Cross multiply
   142.59x = 301.22 × 301.22
4. Step 4: Simplify right side
   142.59x = 90,732.74
5. Step 5: Solve for x
   x = 90,732.74/142.59
6. Step 6: Final answer
   x = 636.30