Finding the Third Proportional to 213,540 and 494,290

Step by Step Solution

1. Step 1: Write the proportion equation
   213,540 : 494,290 = 494,290 : x
2. Step 2: Convert to fraction form
   213,540/494,290 = 494,290/x
3. Step 3: Cross multiply
   213,540x = 494,290 × 494,290
4. Step 4: Simplify right side
   213,540x = 244,322,604,100
5. Step 5: Solve for x
   x = 244,322,604,100/213,540
6. Step 6: Final answer
   x = 1,144,153.81