Finding the Third Proportional to 105,288 and 227,434

Step by Step Solution

1. Step 1: Write the proportion equation
   105,288 : 227,434 = 227,434 : x
2. Step 2: Convert to fraction form
   105,288/227,434 = 227,434/x
3. Step 3: Cross multiply
   105,288x = 227,434 × 227,434
4. Step 4: Simplify right side
   105,288x = 51,726,224,356
5. Step 5: Solve for x
   x = 51,726,224,356/105,288
6. Step 6: Final answer
   x = 491,283.19