Finding the Third Proportional to 102,978 and 225,638

Step by Step Solution

1. Step 1: Write the proportion equation
   102,978 : 225,638 = 225,638 : x
2. Step 2: Convert to fraction form
   102,978/225,638 = 225,638/x
3. Step 3: Cross multiply
   102,978x = 225,638 × 225,638
4. Step 4: Simplify right side
   102,978x = 50,912,507,044
5. Step 5: Solve for x
   x = 50,912,507,044/102,978
6. Step 6: Final answer
   x = 494,401.79