Finding the Third Proportional to 118,360 and 257,456

Step by Step Solution

1. Step 1: Write the proportion equation
   118,360 : 257,456 = 257,456 : x
2. Step 2: Convert to fraction form
   118,360/257,456 = 257,456/x
3. Step 3: Cross multiply
   118,360x = 257,456 × 257,456
4. Step 4: Simplify right side
   118,360x = 66,283,591,936
5. Step 5: Solve for x
   x = 66,283,591,936/118,360
6. Step 6: Final answer
   x = 560,016.83