Finding the Third Proportional to 116,764 and 256,856

Step by Step Solution

1. Step 1: Write the proportion equation
   116,764 : 256,856 = 256,856 : x
2. Step 2: Convert to fraction form
   116,764/256,856 = 256,856/x
3. Step 3: Cross multiply
   116,764x = 256,856 × 256,856
4. Step 4: Simplify right side
   116,764x = 65,975,004,736
5. Step 5: Solve for x
   x = 65,975,004,736/116,764
6. Step 6: Final answer
   x = 565,028.65