Finding the Third Proportional to 105,168 and 227,294

Step by Step Solution

1. Step 1: Write the proportion equation
   105,168 : 227,294 = 227,294 : x
2. Step 2: Convert to fraction form
   105,168/227,294 = 227,294/x
3. Step 3: Cross multiply
   105,168x = 227,294 × 227,294
4. Step 4: Simplify right side
   105,168x = 51,662,562,436
5. Step 5: Solve for x
   x = 51,662,562,436/105,168
6. Step 6: Final answer
   x = 491,238.42