Finding the Third Proportional to 102,309 and 222,326

Step by Step Solution

1. Step 1: Write the proportion equation
   102,309 : 222,326 = 222,326 : x
2. Step 2: Convert to fraction form
   102,309/222,326 = 222,326/x
3. Step 3: Cross multiply
   102,309x = 222,326 × 222,326
4. Step 4: Simplify right side
   102,309x = 49,428,850,276
5. Step 5: Solve for x
   x = 49,428,850,276/102,309
6. Step 6: Final answer
   x = 483,132.96