Finding the Third Proportional to 123,496 and 256,682

Step by Step Solution

1. Step 1: Write the proportion equation
   123,496 : 256,682 = 256,682 : x
2. Step 2: Convert to fraction form
   123,496/256,682 = 256,682/x
3. Step 3: Cross multiply
   123,496x = 256,682 × 256,682
4. Step 4: Simplify right side
   123,496x = 65,885,649,124
5. Step 5: Solve for x
   x = 65,885,649,124/123,496
6. Step 6: Final answer
   x = 533,504.32