Finding the Third Proportional to 105,128 and 227,754

Step by Step Solution

1. Step 1: Write the proportion equation
   105,128 : 227,754 = 227,754 : x
2. Step 2: Convert to fraction form
   105,128/227,754 = 227,754/x
3. Step 3: Cross multiply
   105,128x = 227,754 × 227,754
4. Step 4: Simplify right side
   105,128x = 51,871,884,516
5. Step 5: Solve for x
   x = 51,871,884,516/105,128
6. Step 6: Final answer
   x = 493,416.45