Finding the Third Proportional to 140,651 and 286,524

Step by Step Solution

1. Step 1: Write the proportion equation
   140,651 : 286,524 = 286,524 : x
2. Step 2: Convert to fraction form
   140,651/286,524 = 286,524/x
3. Step 3: Cross multiply
   140,651x = 286,524 × 286,524
4. Step 4: Simplify right side
   140,651x = 82,096,002,576
5. Step 5: Solve for x
   x = 82,096,002,576/140,651
6. Step 6: Final answer
   x = 583,685.88