Finding the Third Proportional to 102,020.25 and 222,109.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,020.25 : 222,109.50 = 222,109.50 : x
2. Step 2: Convert to fraction form
   102,020.25/222,109.50 = 222,109.50/x
3. Step 3: Cross multiply
   102,020.25x = 222,109.50 × 222,109.50
4. Step 4: Simplify right side
   102,020.25x = 49,332,629,990.25
5. Step 5: Solve for x
   x = 49,332,629,990.25/102,020.25
6. Step 6: Final answer
   x = 483,557.23