Finding the Third Proportional to 105,424 and 225,916

Step by Step Solution

1. Step 1: Write the proportion equation
   105,424 : 225,916 = 225,916 : x
2. Step 2: Convert to fraction form
   105,424/225,916 = 225,916/x
3. Step 3: Cross multiply
   105,424x = 225,916 × 225,916
4. Step 4: Simplify right side
   105,424x = 51,038,039,056
5. Step 5: Solve for x
   x = 51,038,039,056/105,424
6. Step 6: Final answer
   x = 484,121.63