Finding the Third Proportional to 213,640 and 494,564

Step by Step Solution

1. Step 1: Write the proportion equation
   213,640 : 494,564 = 494,564 : x
2. Step 2: Convert to fraction form
   213,640/494,564 = 494,564/x
3. Step 3: Cross multiply
   213,640x = 494,564 × 494,564
4. Step 4: Simplify right side
   213,640x = 244,593,550,096
5. Step 5: Solve for x
   x = 244,593,550,096/213,640
6. Step 6: Final answer
   x = 1,144,886.49