Finding the Third Proportional to 103,622 and 225,976

Step by Step Solution

1. Step 1: Write the proportion equation
   103,622 : 225,976 = 225,976 : x
2. Step 2: Convert to fraction form
   103,622/225,976 = 225,976/x
3. Step 3: Cross multiply
   103,622x = 225,976 × 225,976
4. Step 4: Simplify right side
   103,622x = 51,065,152,576
5. Step 5: Solve for x
   x = 51,065,152,576/103,622
6. Step 6: Final answer
   x = 492,802.23