Finding the Third Proportional to 109,182 and 227,694

Step by Step Solution

1. Step 1: Write the proportion equation
   109,182 : 227,694 = 227,694 : x
2. Step 2: Convert to fraction form
   109,182/227,694 = 227,694/x
3. Step 3: Cross multiply
   109,182x = 227,694 × 227,694
4. Step 4: Simplify right side
   109,182x = 51,844,557,636
5. Step 5: Solve for x
   x = 51,844,557,636/109,182
6. Step 6: Final answer
   x = 474,845.28