Finding the Third Proportional to 222,740 and 321,822

Step by Step Solution

1. Step 1: Write the proportion equation
   222,740 : 321,822 = 321,822 : x
2. Step 2: Convert to fraction form
   222,740/321,822 = 321,822/x
3. Step 3: Cross multiply
   222,740x = 321,822 × 321,822
4. Step 4: Simplify right side
   222,740x = 103,569,399,684
5. Step 5: Solve for x
   x = 103,569,399,684/222,740
6. Step 6: Final answer
   x = 464,978.90