Finding the Third Proportional to 105,228 and 221,688

Step by Step Solution

1. Step 1: Write the proportion equation
   105,228 : 221,688 = 221,688 : x
2. Step 2: Convert to fraction form
   105,228/221,688 = 221,688/x
3. Step 3: Cross multiply
   105,228x = 221,688 × 221,688
4. Step 4: Simplify right side
   105,228x = 49,145,569,344
5. Step 5: Solve for x
   x = 49,145,569,344/105,228
6. Step 6: Final answer
   x = 467,038.90