Finding the Third Proportional to 142.31 and 206.72

Step by Step Solution

1. Step 1: Write the proportion equation
   142.31 : 206.72 = 206.72 : x
2. Step 2: Convert to fraction form
   142.31/206.72 = 206.72/x
3. Step 3: Cross multiply
   142.31x = 206.72 × 206.72
4. Step 4: Simplify right side
   142.31x = 42,732.64
5. Step 5: Solve for x
   x = 42,732.64/142.31
6. Step 6: Final answer
   x = 300.27