Finding the Third Proportional to 226,674 and 333,738

Step by Step Solution

1. Step 1: Write the proportion equation
   226,674 : 333,738 = 333,738 : x
2. Step 2: Convert to fraction form
   226,674/333,738 = 333,738/x
3. Step 3: Cross multiply
   226,674x = 333,738 × 333,738
4. Step 4: Simplify right side
   226,674x = 111,381,052,644
5. Step 5: Solve for x
   x = 111,381,052,644/226,674
6. Step 6: Final answer
   x = 491,371.10