Finding the Third Proportional to 401,480 and 587,142

Step by Step Solution

1. Step 1: Write the proportion equation
   401,480 : 587,142 = 587,142 : x
2. Step 2: Convert to fraction form
   401,480/587,142 = 587,142/x
3. Step 3: Cross multiply
   401,480x = 587,142 × 587,142
4. Step 4: Simplify right side
   401,480x = 344,735,728,164
5. Step 5: Solve for x
   x = 344,735,728,164/401,480
6. Step 6: Final answer
   x = 858,662.27