Finding the Third Proportional to 105,454 and 227,036

Step by Step Solution

1. Step 1: Write the proportion equation
   105,454 : 227,036 = 227,036 : x
2. Step 2: Convert to fraction form
   105,454/227,036 = 227,036/x
3. Step 3: Cross multiply
   105,454x = 227,036 × 227,036
4. Step 4: Simplify right side
   105,454x = 51,545,345,296
5. Step 5: Solve for x
   x = 51,545,345,296/105,454
6. Step 6: Final answer
   x = 488,794.60