Finding the Third Proportional to 219,792 and 470,680

Step by Step Solution

1. Step 1: Write the proportion equation
   219,792 : 470,680 = 470,680 : x
2. Step 2: Convert to fraction form
   219,792/470,680 = 470,680/x
3. Step 3: Cross multiply
   219,792x = 470,680 × 470,680
4. Step 4: Simplify right side
   219,792x = 221,539,662,400
5. Step 5: Solve for x
   x = 221,539,662,400/219,792
6. Step 6: Final answer
   x = 1,007,951.44