Finding the Third Proportional to 222,734 and 321,813

Step by Step Solution

1. Step 1: Write the proportion equation
   222,734 : 321,813 = 321,813 : x
2. Step 2: Convert to fraction form
   222,734/321,813 = 321,813/x
3. Step 3: Cross multiply
   222,734x = 321,813 × 321,813
4. Step 4: Simplify right side
   222,734x = 103,563,606,969
5. Step 5: Solve for x
   x = 103,563,606,969/222,734
6. Step 6: Final answer
   x = 464,965.42