Finding the Third Proportional to 102,982 and 225,648

Step by Step Solution

1. Step 1: Write the proportion equation
   102,982 : 225,648 = 225,648 : x
2. Step 2: Convert to fraction form
   102,982/225,648 = 225,648/x
3. Step 3: Cross multiply
   102,982x = 225,648 × 225,648
4. Step 4: Simplify right side
   102,982x = 50,917,019,904
5. Step 5: Solve for x
   x = 50,917,019,904/102,982
6. Step 6: Final answer
   x = 494,426.40