Finding the Third Proportional to 339,766 and 475,267.50

Step by Step Solution

1. Step 1: Write the proportion equation
   339,766 : 475,267.50 = 475,267.50 : x
2. Step 2: Convert to fraction form
   339,766/475,267.50 = 475,267.50/x
3. Step 3: Cross multiply
   339,766x = 475,267.50 × 475,267.50
4. Step 4: Simplify right side
   339,766x = 225,879,196,556.25
5. Step 5: Solve for x
   x = 225,879,196,556.25/339,766
6. Step 6: Final answer
   x = 664,808.12