Finding the Third Proportional to 105,040 and 224,844

Step by Step Solution

1. Step 1: Write the proportion equation
   105,040 : 224,844 = 224,844 : x
2. Step 2: Convert to fraction form
   105,040/224,844 = 224,844/x
3. Step 3: Cross multiply
   105,040x = 224,844 × 224,844
4. Step 4: Simplify right side
   105,040x = 50,554,824,336
5. Step 5: Solve for x
   x = 50,554,824,336/105,040
6. Step 6: Final answer
   x = 481,291.17