Finding the Third Proportional to 142.03 and 214.45

Step by Step Solution

1. Step 1: Write the proportion equation
   142.03 : 214.45 = 214.45 : x
2. Step 2: Convert to fraction form
   142.03/214.45 = 214.45/x
3. Step 3: Cross multiply
   142.03x = 214.45 × 214.45
4. Step 4: Simplify right side
   142.03x = 45,990.14
5. Step 5: Solve for x
   x = 45,990.14/142.03
6. Step 6: Final answer
   x = 323.80