Finding the Third Proportional to 116,758 and 256,844

Step by Step Solution

1. Step 1: Write the proportion equation
   116,758 : 256,844 = 256,844 : x
2. Step 2: Convert to fraction form
   116,758/256,844 = 256,844/x
3. Step 3: Cross multiply
   116,758x = 256,844 × 256,844
4. Step 4: Simplify right side
   116,758x = 65,968,840,336
5. Step 5: Solve for x
   x = 65,968,840,336/116,758
6. Step 6: Final answer
   x = 565,004.88