Finding the Third Proportional to 102,412.50 and 222,777

Step by Step Solution

1. Step 1: Write the proportion equation
   102,412.50 : 222,777 = 222,777 : x
2. Step 2: Convert to fraction form
   102,412.50/222,777 = 222,777/x
3. Step 3: Cross multiply
   102,412.50x = 222,777 × 222,777
4. Step 4: Simplify right side
   102,412.50x = 49,629,591,729
5. Step 5: Solve for x
   x = 49,629,591,729/102,412.50
6. Step 6: Final answer
   x = 484,604.83