Finding the Third Proportional to 225,898 and 491,144

Step by Step Solution

1. Step 1: Write the proportion equation
   225,898 : 491,144 = 491,144 : x
2. Step 2: Convert to fraction form
   225,898/491,144 = 491,144/x
3. Step 3: Cross multiply
   225,898x = 491,144 × 491,144
4. Step 4: Simplify right side
   225,898x = 241,222,428,736
5. Step 5: Solve for x
   x = 241,222,428,736/225,898
6. Step 6: Final answer
   x = 1,067,837.82