Finding the Third Proportional to 116,676 and 256,680

Step by Step Solution

1. Step 1: Write the proportion equation
   116,676 : 256,680 = 256,680 : x
2. Step 2: Convert to fraction form
   116,676/256,680 = 256,680/x
3. Step 3: Cross multiply
   116,676x = 256,680 × 256,680
4. Step 4: Simplify right side
   116,676x = 65,884,622,400
5. Step 5: Solve for x
   x = 65,884,622,400/116,676
6. Step 6: Final answer
   x = 564,680.16