Finding the Third Proportional to 105,872 and 226,099

Step by Step Solution

1. Step 1: Write the proportion equation
   105,872 : 226,099 = 226,099 : x
2. Step 2: Convert to fraction form
   105,872/226,099 = 226,099/x
3. Step 3: Cross multiply
   105,872x = 226,099 × 226,099
4. Step 4: Simplify right side
   105,872x = 51,120,757,801
5. Step 5: Solve for x
   x = 51,120,757,801/105,872
6. Step 6: Final answer
   x = 482,854.37