Finding the Third Proportional to 105,870 and 227,089

Step by Step Solution

1. Step 1: Write the proportion equation
   105,870 : 227,089 = 227,089 : x
2. Step 2: Convert to fraction form
   105,870/227,089 = 227,089/x
3. Step 3: Cross multiply
   105,870x = 227,089 × 227,089
4. Step 4: Simplify right side
   105,870x = 51,569,413,921
5. Step 5: Solve for x
   x = 51,569,413,921/105,870
6. Step 6: Final answer
   x = 487,101.29