Finding the Third Proportional to 213,648 and 494,584

Step by Step Solution

1. Step 1: Write the proportion equation
   213,648 : 494,584 = 494,584 : x
2. Step 2: Convert to fraction form
   213,648/494,584 = 494,584/x
3. Step 3: Cross multiply
   213,648x = 494,584 × 494,584
4. Step 4: Simplify right side
   213,648x = 244,613,333,056
5. Step 5: Solve for x
   x = 244,613,333,056/213,648
6. Step 6: Final answer
   x = 1,144,936.22