Finding the Third Proportional to 116,680 and 181,016

Step by Step Solution

1. Step 1: Write the proportion equation
   116,680 : 181,016 = 181,016 : x
2. Step 2: Convert to fraction form
   116,680/181,016 = 181,016/x
3. Step 3: Cross multiply
   116,680x = 181,016 × 181,016
4. Step 4: Simplify right side
   116,680x = 32,766,792,256
5. Step 5: Solve for x
   x = 32,766,792,256/116,680
6. Step 6: Final answer
   x = 280,826.12