Finding the Third Proportional to 117,640 and 256,016

Step by Step Solution

1. Step 1: Write the proportion equation
   117,640 : 256,016 = 256,016 : x
2. Step 2: Convert to fraction form
   117,640/256,016 = 256,016/x
3. Step 3: Cross multiply
   117,640x = 256,016 × 256,016
4. Step 4: Simplify right side
   117,640x = 65,544,192,256
5. Step 5: Solve for x
   x = 65,544,192,256/117,640
6. Step 6: Final answer
   x = 557,159.06