Finding the Third Proportional to 401,485.50 and 587,146.50

Step by Step Solution

1. Step 1: Write the proportion equation
   401,485.50 : 587,146.50 = 587,146.50 : x
2. Step 2: Convert to fraction form
   401,485.50/587,146.50 = 587,146.50/x
3. Step 3: Cross multiply
   401,485.50x = 587,146.50 × 587,146.50
4. Step 4: Simplify right side
   401,485.50x = 344,741,012,462.25
5. Step 5: Solve for x
   x = 344,741,012,462.25/401,485.50
6. Step 6: Final answer
   x = 858,663.67