Finding the Third Proportional to 224,648 and 494,224

Step by Step Solution

1. Step 1: Write the proportion equation
   224,648 : 494,224 = 494,224 : x
2. Step 2: Convert to fraction form
   224,648/494,224 = 494,224/x
3. Step 3: Cross multiply
   224,648x = 494,224 × 494,224
4. Step 4: Simplify right side
   224,648x = 244,257,362,176
5. Step 5: Solve for x
   x = 244,257,362,176/224,648
6. Step 6: Final answer
   x = 1,087,289.28