Finding the Third Proportional to 142,944 and 217,488

Step by Step Solution

1. Step 1: Write the proportion equation
   142,944 : 217,488 = 217,488 : x
2. Step 2: Convert to fraction form
   142,944/217,488 = 217,488/x
3. Step 3: Cross multiply
   142,944x = 217,488 × 217,488
4. Step 4: Simplify right side
   142,944x = 47,301,030,144
5. Step 5: Solve for x
   x = 47,301,030,144/142,944
6. Step 6: Final answer
   x = 330,906.02