Finding the Third Proportional to 222,760 and 321,849

Step by Step Solution

1. Step 1: Write the proportion equation
   222,760 : 321,849 = 321,849 : x
2. Step 2: Convert to fraction form
   222,760/321,849 = 321,849/x
3. Step 3: Cross multiply
   222,760x = 321,849 × 321,849
4. Step 4: Simplify right side
   222,760x = 103,586,778,801
5. Step 5: Solve for x
   x = 103,586,778,801/222,760
6. Step 6: Final answer
   x = 465,015.17