Finding the Third Proportional to 144,878 and 224,144

Step by Step Solution

1. Step 1: Write the proportion equation
   144,878 : 224,144 = 224,144 : x
2. Step 2: Convert to fraction form
   144,878/224,144 = 224,144/x
3. Step 3: Cross multiply
   144,878x = 224,144 × 224,144
4. Step 4: Simplify right side
   144,878x = 50,240,532,736
5. Step 5: Solve for x
   x = 50,240,532,736/144,878
6. Step 6: Final answer
   x = 346,778.20