Finding the Third Proportional to 102,556 and 222,608

Step by Step Solution

1. Step 1: Write the proportion equation
   102,556 : 222,608 = 222,608 : x
2. Step 2: Convert to fraction form
   102,556/222,608 = 222,608/x
3. Step 3: Cross multiply
   102,556x = 222,608 × 222,608
4. Step 4: Simplify right side
   102,556x = 49,554,321,664
5. Step 5: Solve for x
   x = 49,554,321,664/102,556
6. Step 6: Final answer
   x = 483,192.81