Finding the Third Proportional to 219,792 and 470,688

Step by Step Solution

1. Step 1: Write the proportion equation
   219,792 : 470,688 = 470,688 : x
2. Step 2: Convert to fraction form
   219,792/470,688 = 470,688/x
3. Step 3: Cross multiply
   219,792x = 470,688 × 470,688
4. Step 4: Simplify right side
   219,792x = 221,547,193,344
5. Step 5: Solve for x
   x = 221,547,193,344/219,792
6. Step 6: Final answer
   x = 1,007,985.70