Finding the Third Proportional to 222,874 and 464,216

Step by Step Solution

1. Step 1: Write the proportion equation
   222,874 : 464,216 = 464,216 : x
2. Step 2: Convert to fraction form
   222,874/464,216 = 464,216/x
3. Step 3: Cross multiply
   222,874x = 464,216 × 464,216
4. Step 4: Simplify right side
   222,874x = 215,496,494,656
5. Step 5: Solve for x
   x = 215,496,494,656/222,874
6. Step 6: Final answer
   x = 966,898.31