Finding the Third Proportional to 123,462 and 256,608

Step by Step Solution

1. Step 1: Write the proportion equation
   123,462 : 256,608 = 256,608 : x
2. Step 2: Convert to fraction form
   123,462/256,608 = 256,608/x
3. Step 3: Cross multiply
   123,462x = 256,608 × 256,608
4. Step 4: Simplify right side
   123,462x = 65,847,665,664
5. Step 5: Solve for x
   x = 65,847,665,664/123,462
6. Step 6: Final answer
   x = 533,343.58