Finding the Third Proportional to 226,884 and 333,774

Step by Step Solution

1. Step 1: Write the proportion equation
   226,884 : 333,774 = 333,774 : x
2. Step 2: Convert to fraction form
   226,884/333,774 = 333,774/x
3. Step 3: Cross multiply
   226,884x = 333,774 × 333,774
4. Step 4: Simplify right side
   226,884x = 111,405,083,076
5. Step 5: Solve for x
   x = 111,405,083,076/226,884
6. Step 6: Final answer
   x = 491,022.21