Finding the Third Proportional to 226,602 and 333,638

Step by Step Solution

1. Step 1: Write the proportion equation
   226,602 : 333,638 = 333,638 : x
2. Step 2: Convert to fraction form
   226,602/333,638 = 333,638/x
3. Step 3: Cross multiply
   226,602x = 333,638 × 333,638
4. Step 4: Simplify right side
   226,602x = 111,314,315,044
5. Step 5: Solve for x
   x = 111,314,315,044/226,602
6. Step 6: Final answer
   x = 491,232.71