Finding the Third Proportional to 142.80 and 222.54

Step by Step Solution

1. Step 1: Write the proportion equation
   142.80 : 222.54 = 222.54 : x
2. Step 2: Convert to fraction form
   142.80/222.54 = 222.54/x
3. Step 3: Cross multiply
   142.80x = 222.54 × 222.54
4. Step 4: Simplify right side
   142.80x = 49,523.63
5. Step 5: Solve for x
   x = 49,523.63/142.80
6. Step 6: Final answer
   x = 346.79