Finding the Third Proportional to 118,442 and 256,540

Step by Step Solution

1. Step 1: Write the proportion equation
   118,442 : 256,540 = 256,540 : x
2. Step 2: Convert to fraction form
   118,442/256,540 = 256,540/x
3. Step 3: Cross multiply
   118,442x = 256,540 × 256,540
4. Step 4: Simplify right side
   118,442x = 65,812,771,600
5. Step 5: Solve for x
   x = 65,812,771,600/118,442
6. Step 6: Final answer
   x = 555,654.00