Finding the Third Proportional to 144,633 and 222,456.50

Step by Step Solution

1. Step 1: Write the proportion equation
   144,633 : 222,456.50 = 222,456.50 : x
2. Step 2: Convert to fraction form
   144,633/222,456.50 = 222,456.50/x
3. Step 3: Cross multiply
   144,633x = 222,456.50 × 222,456.50
4. Step 4: Simplify right side
   144,633x = 49,486,894,392.25
5. Step 5: Solve for x
   x = 49,486,894,392.25/144,633
6. Step 6: Final answer
   x = 342,154.93