Finding the Third Proportional to 102,244 and 222,488

Step by Step Solution

1. Step 1: Write the proportion equation
   102,244 : 222,488 = 222,488 : x
2. Step 2: Convert to fraction form
   102,244/222,488 = 222,488/x
3. Step 3: Cross multiply
   102,244x = 222,488 × 222,488
4. Step 4: Simplify right side
   102,244x = 49,500,910,144
5. Step 5: Solve for x
   x = 49,500,910,144/102,244
6. Step 6: Final answer
   x = 484,144.89