Finding the Third Proportional to 338,836.50 and 705,744

Step by Step Solution

1. Step 1: Write the proportion equation
   338,836.50 : 705,744 = 705,744 : x
2. Step 2: Convert to fraction form
   338,836.50/705,744 = 705,744/x
3. Step 3: Cross multiply
   338,836.50x = 705,744 × 705,744
4. Step 4: Simplify right side
   338,836.50x = 498,074,593,536
5. Step 5: Solve for x
   x = 498,074,593,536/338,836.50
6. Step 6: Final answer
   x = 1,469,955.55