Finding the Third Proportional to 105,257 and 227,362

Step by Step Solution

1. Step 1: Write the proportion equation
   105,257 : 227,362 = 227,362 : x
2. Step 2: Convert to fraction form
   105,257/227,362 = 227,362/x
3. Step 3: Cross multiply
   105,257x = 227,362 × 227,362
4. Step 4: Simplify right side
   105,257x = 51,693,479,044
5. Step 5: Solve for x
   x = 51,693,479,044/105,257
6. Step 6: Final answer
   x = 491,116.78