Finding the Third Proportional to 102,498 and 222,948

Step by Step Solution

1. Step 1: Write the proportion equation
   102,498 : 222,948 = 222,948 : x
2. Step 2: Convert to fraction form
   102,498/222,948 = 222,948/x
3. Step 3: Cross multiply
   102,498x = 222,948 × 222,948
4. Step 4: Simplify right side
   102,498x = 49,705,810,704
5. Step 5: Solve for x
   x = 49,705,810,704/102,498
6. Step 6: Final answer
   x = 484,944.20