Finding the Third Proportional to 123,502 and 256,694

Step by Step Solution

1. Step 1: Write the proportion equation
   123,502 : 256,694 = 256,694 : x
2. Step 2: Convert to fraction form
   123,502/256,694 = 256,694/x
3. Step 3: Cross multiply
   123,502x = 256,694 × 256,694
4. Step 4: Simplify right side
   123,502x = 65,891,809,636
5. Step 5: Solve for x
   x = 65,891,809,636/123,502
6. Step 6: Final answer
   x = 533,528.28