Finding the Third Proportional to 144,801 and 224,208

Step by Step Solution

1. Step 1: Write the proportion equation
   144,801 : 224,208 = 224,208 : x
2. Step 2: Convert to fraction form
   144,801/224,208 = 224,208/x
3. Step 3: Cross multiply
   144,801x = 224,208 × 224,208
4. Step 4: Simplify right side
   144,801x = 50,269,227,264
5. Step 5: Solve for x
   x = 50,269,227,264/144,801
6. Step 6: Final answer
   x = 347,160.77