Finding the Third Proportional to 106,336 and 223,688

Step by Step Solution

1. Step 1: Write the proportion equation
   106,336 : 223,688 = 223,688 : x
2. Step 2: Convert to fraction form
   106,336/223,688 = 223,688/x
3. Step 3: Cross multiply
   106,336x = 223,688 × 223,688
4. Step 4: Simplify right side
   106,336x = 50,036,321,344
5. Step 5: Solve for x
   x = 50,036,321,344/106,336
6. Step 6: Final answer
   x = 470,549.22