Finding the Third Proportional to 105,960 and 226,338

Step by Step Solution

1. Step 1: Write the proportion equation
   105,960 : 226,338 = 226,338 : x
2. Step 2: Convert to fraction form
   105,960/226,338 = 226,338/x
3. Step 3: Cross multiply
   105,960x = 226,338 × 226,338
4. Step 4: Simplify right side
   105,960x = 51,228,890,244
5. Step 5: Solve for x
   x = 51,228,890,244/105,960
6. Step 6: Final answer
   x = 483,473.86