Finding the Third Proportional to 105,908 and 227,172

Step by Step Solution

1. Step 1: Write the proportion equation
   105,908 : 227,172 = 227,172 : x
2. Step 2: Convert to fraction form
   105,908/227,172 = 227,172/x
3. Step 3: Cross multiply
   105,908x = 227,172 × 227,172
4. Step 4: Simplify right side
   105,908x = 51,607,117,584
5. Step 5: Solve for x
   x = 51,607,117,584/105,908
6. Step 6: Final answer
   x = 487,282.52