Finding the Third Proportional to 158,886 and 222,678

Step by Step Solution

1. Step 1: Write the proportion equation
   158,886 : 222,678 = 222,678 : x
2. Step 2: Convert to fraction form
   158,886/222,678 = 222,678/x
3. Step 3: Cross multiply
   158,886x = 222,678 × 222,678
4. Step 4: Simplify right side
   158,886x = 49,585,491,684
5. Step 5: Solve for x
   x = 49,585,491,684/158,886
6. Step 6: Final answer
   x = 312,082.20