Finding the Third Proportional to 144,432 and 223,204

Step by Step Solution

1. Step 1: Write the proportion equation
   144,432 : 223,204 = 223,204 : x
2. Step 2: Convert to fraction form
   144,432/223,204 = 223,204/x
3. Step 3: Cross multiply
   144,432x = 223,204 × 223,204
4. Step 4: Simplify right side
   144,432x = 49,820,025,616
5. Step 5: Solve for x
   x = 49,820,025,616/144,432
6. Step 6: Final answer
   x = 344,937.59