Finding the Third Proportional to 144,644 and 223,944

Step by Step Solution

1. Step 1: Write the proportion equation
   144,644 : 223,944 = 223,944 : x
2. Step 2: Convert to fraction form
   144,644/223,944 = 223,944/x
3. Step 3: Cross multiply
   144,644x = 223,944 × 223,944
4. Step 4: Simplify right side
   144,644x = 50,150,915,136
5. Step 5: Solve for x
   x = 50,150,915,136/144,644
6. Step 6: Final answer
   x = 346,719.64