Finding the Third Proportional to 105,906 and 226,014

Step by Step Solution

1. Step 1: Write the proportion equation
   105,906 : 226,014 = 226,014 : x
2. Step 2: Convert to fraction form
   105,906/226,014 = 226,014/x
3. Step 3: Cross multiply
   105,906x = 226,014 × 226,014
4. Step 4: Simplify right side
   105,906x = 51,082,328,196
5. Step 5: Solve for x
   x = 51,082,328,196/105,906
6. Step 6: Final answer
   x = 482,336.49