Finding the Third Proportional to 105,864 and 227,079

Step by Step Solution

1. Step 1: Write the proportion equation
   105,864 : 227,079 = 227,079 : x
2. Step 2: Convert to fraction form
   105,864/227,079 = 227,079/x
3. Step 3: Cross multiply
   105,864x = 227,079 × 227,079
4. Step 4: Simplify right side
   105,864x = 51,564,872,241
5. Step 5: Solve for x
   x = 51,564,872,241/105,864
6. Step 6: Final answer
   x = 487,086.00