Finding the Third Proportional to 169,222 and 224,626

Step by Step Solution

1. Step 1: Write the proportion equation
   169,222 : 224,626 = 224,626 : x
2. Step 2: Convert to fraction form
   169,222/224,626 = 224,626/x
3. Step 3: Cross multiply
   169,222x = 224,626 × 224,626
4. Step 4: Simplify right side
   169,222x = 50,456,839,876
5. Step 5: Solve for x
   x = 50,456,839,876/169,222
6. Step 6: Final answer
   x = 298,169.50