Finding the Third Proportional to 105,336 and 227,712

Step by Step Solution

1. Step 1: Write the proportion equation
   105,336 : 227,712 = 227,712 : x
2. Step 2: Convert to fraction form
   105,336/227,712 = 227,712/x
3. Step 3: Cross multiply
   105,336x = 227,712 × 227,712
4. Step 4: Simplify right side
   105,336x = 51,852,754,944
5. Step 5: Solve for x
   x = 51,852,754,944/105,336
6. Step 6: Final answer
   x = 492,260.53