Finding the Third Proportional to 116,678 and 256,684

Step by Step Solution

1. Step 1: Write the proportion equation
   116,678 : 256,684 = 256,684 : x
2. Step 2: Convert to fraction form
   116,678/256,684 = 256,684/x
3. Step 3: Cross multiply
   116,678x = 256,684 × 256,684
4. Step 4: Simplify right side
   116,678x = 65,886,675,856
5. Step 5: Solve for x
   x = 65,886,675,856/116,678
6. Step 6: Final answer
   x = 564,688.08