Finding the Third Proportional to 229,024 and 322,496

Step by Step Solution

1. Step 1: Write the proportion equation
   229,024 : 322,496 = 322,496 : x
2. Step 2: Convert to fraction form
   229,024/322,496 = 322,496/x
3. Step 3: Cross multiply
   229,024x = 322,496 × 322,496
4. Step 4: Simplify right side
   229,024x = 104,003,670,016
5. Step 5: Solve for x
   x = 104,003,670,016/229,024
6. Step 6: Final answer
   x = 454,116.90