Finding the Third Proportional to 222,756 and 321,844

Step by Step Solution

1. Step 1: Write the proportion equation
   222,756 : 321,844 = 321,844 : x
2. Step 2: Convert to fraction form
   222,756/321,844 = 321,844/x
3. Step 3: Cross multiply
   222,756x = 321,844 × 321,844
4. Step 4: Simplify right side
   222,756x = 103,583,560,336
5. Step 5: Solve for x
   x = 103,583,560,336/222,756
6. Step 6: Final answer
   x = 465,009.07