Finding the Third Proportional to 492,760 and 686,540

Step by Step Solution

1. Step 1: Write the proportion equation
   492,760 : 686,540 = 686,540 : x
2. Step 2: Convert to fraction form
   492,760/686,540 = 686,540/x
3. Step 3: Cross multiply
   492,760x = 686,540 × 686,540
4. Step 4: Simplify right side
   492,760x = 471,337,171,600
5. Step 5: Solve for x
   x = 471,337,171,600/492,760
6. Step 6: Final answer
   x = 956,524.82