Finding the Third Proportional to 181,760 and 397,216

Step by Step Solution

1. Step 1: Write the proportion equation
   181,760 : 397,216 = 397,216 : x
2. Step 2: Convert to fraction form
   181,760/397,216 = 397,216/x
3. Step 3: Cross multiply
   181,760x = 397,216 × 397,216
4. Step 4: Simplify right side
   181,760x = 157,780,550,656
5. Step 5: Solve for x
   x = 157,780,550,656/181,760
6. Step 6: Final answer
   x = 868,070.81