Finding the Third Proportional to 222,764 and 321,856

Step by Step Solution

1. Step 1: Write the proportion equation
   222,764 : 321,856 = 321,856 : x
2. Step 2: Convert to fraction form
   222,764/321,856 = 321,856/x
3. Step 3: Cross multiply
   222,764x = 321,856 × 321,856
4. Step 4: Simplify right side
   222,764x = 103,591,284,736
5. Step 5: Solve for x
   x = 103,591,284,736/222,764
6. Step 6: Final answer
   x = 465,027.05