Finding the Third Proportional to 142,944 and 302,016

Step by Step Solution

1. Step 1: Write the proportion equation
   142,944 : 302,016 = 302,016 : x
2. Step 2: Convert to fraction form
   142,944/302,016 = 302,016/x
3. Step 3: Cross multiply
   142,944x = 302,016 × 302,016
4. Step 4: Simplify right side
   142,944x = 91,213,664,256
5. Step 5: Solve for x
   x = 91,213,664,256/142,944
6. Step 6: Final answer
   x = 638,107.68