Finding the Third Proportional to 401,841 and 587,290.50

Step by Step Solution

1. Step 1: Write the proportion equation
   401,841 : 587,290.50 = 587,290.50 : x
2. Step 2: Convert to fraction form
   401,841/587,290.50 = 587,290.50/x
3. Step 3: Cross multiply
   401,841x = 587,290.50 × 587,290.50
4. Step 4: Simplify right side
   401,841x = 344,910,131,390.25
5. Step 5: Solve for x
   x = 344,910,131,390.25/401,841
6. Step 6: Final answer
   x = 858,324.89