Finding the Third Proportional to 111,468 and 225,816

Step by Step Solution

1. Step 1: Write the proportion equation
   111,468 : 225,816 = 225,816 : x
2. Step 2: Convert to fraction form
   111,468/225,816 = 225,816/x
3. Step 3: Cross multiply
   111,468x = 225,816 × 225,816
4. Step 4: Simplify right side
   111,468x = 50,992,865,856
5. Step 5: Solve for x
   x = 50,992,865,856/111,468
6. Step 6: Final answer
   x = 457,466.41