Finding the Third Proportional to 105,876 and 227,100

Step by Step Solution

1. Step 1: Write the proportion equation
   105,876 : 227,100 = 227,100 : x
2. Step 2: Convert to fraction form
   105,876/227,100 = 227,100/x
3. Step 3: Cross multiply
   105,876x = 227,100 × 227,100
4. Step 4: Simplify right side
   105,876x = 51,574,410,000
5. Step 5: Solve for x
   x = 51,574,410,000/105,876
6. Step 6: Final answer
   x = 487,120.88