Finding the Third Proportional to 142.88 and 212.06

Step by Step Solution

1. Step 1: Write the proportion equation
   142.88 : 212.06 = 212.06 : x
2. Step 2: Convert to fraction form
   142.88/212.06 = 212.06/x
3. Step 3: Cross multiply
   142.88x = 212.06 × 212.06
4. Step 4: Simplify right side
   142.88x = 44,970.50
5. Step 5: Solve for x
   x = 44,970.50/142.88
6. Step 6: Final answer
   x = 314.75