Finding the Third Proportional to 282,084 and 587,488

Step by Step Solution

1. Step 1: Write the proportion equation
   282,084 : 587,488 = 587,488 : x
2. Step 2: Convert to fraction form
   282,084/587,488 = 587,488/x
3. Step 3: Cross multiply
   282,084x = 587,488 × 587,488
4. Step 4: Simplify right side
   282,084x = 345,142,150,144
5. Step 5: Solve for x
   x = 345,142,150,144/282,084
6. Step 6: Final answer
   x = 1,223,543.87