Finding the Third Proportional to 105,075 and 225,012

Step by Step Solution

1. Step 1: Write the proportion equation
   105,075 : 225,012 = 225,012 : x
2. Step 2: Convert to fraction form
   105,075/225,012 = 225,012/x
3. Step 3: Cross multiply
   105,075x = 225,012 × 225,012
4. Step 4: Simplify right side
   105,075x = 50,630,400,144
5. Step 5: Solve for x
   x = 50,630,400,144/105,075
6. Step 6: Final answer
   x = 481,850.11