Finding the Third Proportional to 165,951 and 222,669

Step by Step Solution

1. Step 1: Write the proportion equation
   165,951 : 222,669 = 222,669 : x
2. Step 2: Convert to fraction form
   165,951/222,669 = 222,669/x
3. Step 3: Cross multiply
   165,951x = 222,669 × 222,669
4. Step 4: Simplify right side
   165,951x = 49,581,483,561
5. Step 5: Solve for x
   x = 49,581,483,561/165,951
6. Step 6: Final answer
   x = 298,771.83