Finding the Third Proportional to 105,954 and 224,544

Step by Step Solution

1. Step 1: Write the proportion equation
   105,954 : 224,544 = 224,544 : x
2. Step 2: Convert to fraction form
   105,954/224,544 = 224,544/x
3. Step 3: Cross multiply
   105,954x = 224,544 × 224,544
4. Step 4: Simplify right side
   105,954x = 50,420,007,936
5. Step 5: Solve for x
   x = 50,420,007,936/105,954
6. Step 6: Final answer
   x = 475,866.96