Finding the Third Proportional to 102,560 and 222,616

Step by Step Solution

1. Step 1: Write the proportion equation
   102,560 : 222,616 = 222,616 : x
2. Step 2: Convert to fraction form
   102,560/222,616 = 222,616/x
3. Step 3: Cross multiply
   102,560x = 222,616 × 222,616
4. Step 4: Simplify right side
   102,560x = 49,557,883,456
5. Step 5: Solve for x
   x = 49,557,883,456/102,560
6. Step 6: Final answer
   x = 483,208.69