Finding the Third Proportional to 338,596.50 and 705,218

Step by Step Solution

1. Step 1: Write the proportion equation
   338,596.50 : 705,218 = 705,218 : x
2. Step 2: Convert to fraction form
   338,596.50/705,218 = 705,218/x
3. Step 3: Cross multiply
   338,596.50x = 705,218 × 705,218
4. Step 4: Simplify right side
   338,596.50x = 497,332,427,524
5. Step 5: Solve for x
   x = 497,332,427,524/338,596.50
6. Step 6: Final answer
   x = 1,468,805.58