Finding the Third Proportional to 142.56 and 230.69

Step by Step Solution

1. Step 1: Write the proportion equation
   142.56 : 230.69 = 230.69 : x
2. Step 2: Convert to fraction form
   142.56/230.69 = 230.69/x
3. Step 3: Cross multiply
   142.56x = 230.69 × 230.69
4. Step 4: Simplify right side
   142.56x = 53,216.72
5. Step 5: Solve for x
   x = 53,216.72/142.56
6. Step 6: Final answer
   x = 373.29