Finding the Third Proportional to 105,904 and 227,164

Step by Step Solution

1. Step 1: Write the proportion equation
   105,904 : 227,164 = 227,164 : x
2. Step 2: Convert to fraction form
   105,904/227,164 = 227,164/x
3. Step 3: Cross multiply
   105,904x = 227,164 × 227,164
4. Step 4: Simplify right side
   105,904x = 51,603,482,896
5. Step 5: Solve for x
   x = 51,603,482,896/105,904
6. Step 6: Final answer
   x = 487,266.61