Finding the Third Proportional to 102,658 and 222,852

Step by Step Solution

1. Step 1: Write the proportion equation
   102,658 : 222,852 = 222,852 : x
2. Step 2: Convert to fraction form
   102,658/222,852 = 222,852/x
3. Step 3: Cross multiply
   102,658x = 222,852 × 222,852
4. Step 4: Simplify right side
   102,658x = 49,663,013,904
5. Step 5: Solve for x
   x = 49,663,013,904/102,658
6. Step 6: Final answer
   x = 483,771.49