Finding the Third Proportional to 105,106 and 225,764

Step by Step Solution

1. Step 1: Write the proportion equation
   105,106 : 225,764 = 225,764 : x
2. Step 2: Convert to fraction form
   105,106/225,764 = 225,764/x
3. Step 3: Cross multiply
   105,106x = 225,764 × 225,764
4. Step 4: Simplify right side
   105,106x = 50,969,383,696
5. Step 5: Solve for x
   x = 50,969,383,696/105,106
6. Step 6: Final answer
   x = 484,933.15