Finding the Third Proportional to 105,862 and 227,075

Step by Step Solution

1. Step 1: Write the proportion equation
   105,862 : 227,075 = 227,075 : x
2. Step 2: Convert to fraction form
   105,862/227,075 = 227,075/x
3. Step 3: Cross multiply
   105,862x = 227,075 × 227,075
4. Step 4: Simplify right side
   105,862x = 51,563,055,625
5. Step 5: Solve for x
   x = 51,563,055,625/105,862
6. Step 6: Final answer
   x = 487,078.04