Finding the Third Proportional to 128,831 and 178,016

Step by Step Solution

1. Step 1: Write the proportion equation
   128,831 : 178,016 = 178,016 : x
2. Step 2: Convert to fraction form
   128,831/178,016 = 178,016/x
3. Step 3: Cross multiply
   128,831x = 178,016 × 178,016
4. Step 4: Simplify right side
   128,831x = 31,689,696,256
5. Step 5: Solve for x
   x = 31,689,696,256/128,831
6. Step 6: Final answer
   x = 245,978.81