Finding the Third Proportional to 105,345 and 227,618

Step by Step Solution

1. Step 1: Write the proportion equation
   105,345 : 227,618 = 227,618 : x
2. Step 2: Convert to fraction form
   105,345/227,618 = 227,618/x
3. Step 3: Cross multiply
   105,345x = 227,618 × 227,618
4. Step 4: Simplify right side
   105,345x = 51,809,953,924
5. Step 5: Solve for x
   x = 51,809,953,924/105,345
6. Step 6: Final answer
   x = 491,812.18