Finding the Third Proportional to 118,276 and 256,256

Step by Step Solution

1. Step 1: Write the proportion equation
   118,276 : 256,256 = 256,256 : x
2. Step 2: Convert to fraction form
   118,276/256,256 = 256,256/x
3. Step 3: Cross multiply
   118,276x = 256,256 × 256,256
4. Step 4: Simplify right side
   118,276x = 65,667,137,536
5. Step 5: Solve for x
   x = 65,667,137,536/118,276
6. Step 6: Final answer
   x = 555,202.56