Finding the Third Proportional to 222,762 and 321,852

Step by Step Solution

1. Step 1: Write the proportion equation
   222,762 : 321,852 = 321,852 : x
2. Step 2: Convert to fraction form
   222,762/321,852 = 321,852/x
3. Step 3: Cross multiply
   222,762x = 321,852 × 321,852
4. Step 4: Simplify right side
   222,762x = 103,588,709,904
5. Step 5: Solve for x
   x = 103,588,709,904/222,762
6. Step 6: Final answer
   x = 465,019.66