Finding the Third Proportional to 116,708 and 256,008

Step by Step Solution

1. Step 1: Write the proportion equation
   116,708 : 256,008 = 256,008 : x
2. Step 2: Convert to fraction form
   116,708/256,008 = 256,008/x
3. Step 3: Cross multiply
   116,708x = 256,008 × 256,008
4. Step 4: Simplify right side
   116,708x = 65,540,096,064
5. Step 5: Solve for x
   x = 65,540,096,064/116,708
6. Step 6: Final answer
   x = 561,573.29