Finding the Third Proportional to 105,460 and 227,048

Step by Step Solution

1. Step 1: Write the proportion equation
   105,460 : 227,048 = 227,048 : x
2. Step 2: Convert to fraction form
   105,460/227,048 = 227,048/x
3. Step 3: Cross multiply
   105,460x = 227,048 × 227,048
4. Step 4: Simplify right side
   105,460x = 51,550,794,304
5. Step 5: Solve for x
   x = 51,550,794,304/105,460
6. Step 6: Final answer
   x = 488,818.46