Finding the Third Proportional to 123,504 and 256,698

Step by Step Solution

1. Step 1: Write the proportion equation
   123,504 : 256,698 = 256,698 : x
2. Step 2: Convert to fraction form
   123,504/256,698 = 256,698/x
3. Step 3: Cross multiply
   123,504x = 256,698 × 256,698
4. Step 4: Simplify right side
   123,504x = 65,893,863,204
5. Step 5: Solve for x
   x = 65,893,863,204/123,504
6. Step 6: Final answer
   x = 533,536.27