Finding the Third Proportional to 105,420 and 225,908

Step by Step Solution

1. Step 1: Write the proportion equation
   105,420 : 225,908 = 225,908 : x
2. Step 2: Convert to fraction form
   105,420/225,908 = 225,908/x
3. Step 3: Cross multiply
   105,420x = 225,908 × 225,908
4. Step 4: Simplify right side
   105,420x = 51,034,424,464
5. Step 5: Solve for x
   x = 51,034,424,464/105,420
6. Step 6: Final answer
   x = 484,105.71