Finding the Third Proportional to 100,268 and 222,949.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,268 : 222,949.50 = 222,949.50 : x
2. Step 2: Convert to fraction form
   100,268/222,949.50 = 222,949.50/x
3. Step 3: Cross multiply
   100,268x = 222,949.50 × 222,949.50
4. Step 4: Simplify right side
   100,268x = 49,706,479,550.25
5. Step 5: Solve for x
   x = 49,706,479,550.25/100,268
6. Step 6: Final answer
   x = 495,736.22