Finding the Third Proportional to 226,686 and 333,756

Step by Step Solution

1. Step 1: Write the proportion equation
   226,686 : 333,756 = 333,756 : x
2. Step 2: Convert to fraction form
   226,686/333,756 = 333,756/x
3. Step 3: Cross multiply
   226,686x = 333,756 × 333,756
4. Step 4: Simplify right side
   226,686x = 111,393,067,536
5. Step 5: Solve for x
   x = 111,393,067,536/226,686
6. Step 6: Final answer
   x = 491,398.09