Finding the Third Proportional to 222,538 and 494,830

Step by Step Solution

1. Step 1: Write the proportion equation
   222,538 : 494,830 = 494,830 : x
2. Step 2: Convert to fraction form
   222,538/494,830 = 494,830/x
3. Step 3: Cross multiply
   222,538x = 494,830 × 494,830
4. Step 4: Simplify right side
   222,538x = 244,856,728,900
5. Step 5: Solve for x
   x = 244,856,728,900/222,538
6. Step 6: Final answer
   x = 1,100,291.77