Finding the Third Proportional to 105,458 and 227,044

Step by Step Solution

1. Step 1: Write the proportion equation
   105,458 : 227,044 = 227,044 : x
2. Step 2: Convert to fraction form
   105,458/227,044 = 227,044/x
3. Step 3: Cross multiply
   105,458x = 227,044 × 227,044
4. Step 4: Simplify right side
   105,458x = 51,548,977,936
5. Step 5: Solve for x
   x = 51,548,977,936/105,458
6. Step 6: Final answer
   x = 488,810.50