Finding the Third Proportional to 111,404 and 256,504

Step by Step Solution

1. Step 1: Write the proportion equation
   111,404 : 256,504 = 256,504 : x
2. Step 2: Convert to fraction form
   111,404/256,504 = 256,504/x
3. Step 3: Cross multiply
   111,404x = 256,504 × 256,504
4. Step 4: Simplify right side
   111,404x = 65,794,302,016
5. Step 5: Solve for x
   x = 65,794,302,016/111,404
6. Step 6: Final answer
   x = 590,591.92