Finding the Third Proportional to 144,386 and 222,217.50

Step by Step Solution

1. Step 1: Write the proportion equation
   144,386 : 222,217.50 = 222,217.50 : x
2. Step 2: Convert to fraction form
   144,386/222,217.50 = 222,217.50/x
3. Step 3: Cross multiply
   144,386x = 222,217.50 × 222,217.50
4. Step 4: Simplify right side
   144,386x = 49,380,617,306.25
5. Step 5: Solve for x
   x = 49,380,617,306.25/144,386
6. Step 6: Final answer
   x = 342,004.19