Finding the Third Proportional to 102,816 and 222,912

Step by Step Solution

1. Step 1: Write the proportion equation
   102,816 : 222,912 = 222,912 : x
2. Step 2: Convert to fraction form
   102,816/222,912 = 222,912/x
3. Step 3: Cross multiply
   102,816x = 222,912 × 222,912
4. Step 4: Simplify right side
   102,816x = 49,689,759,744
5. Step 5: Solve for x
   x = 49,689,759,744/102,816
6. Step 6: Final answer
   x = 483,288.20