Finding the Third Proportional to 144,144 and 217,944

Step by Step Solution

1. Step 1: Write the proportion equation
   144,144 : 217,944 = 217,944 : x
2. Step 2: Convert to fraction form
   144,144/217,944 = 217,944/x
3. Step 3: Cross multiply
   144,144x = 217,944 × 217,944
4. Step 4: Simplify right side
   144,144x = 47,499,587,136
5. Step 5: Solve for x
   x = 47,499,587,136/144,144
6. Step 6: Final answer
   x = 329,528.72