Finding the Third Proportional to 89,708 and 188,716

Step by Step Solution

1. Step 1: Write the proportion equation
   89,708 : 188,716 = 188,716 : x
2. Step 2: Convert to fraction form
   89,708/188,716 = 188,716/x
3. Step 3: Cross multiply
   89,708x = 188,716 × 188,716
4. Step 4: Simplify right side
   89,708x = 35,613,728,656
5. Step 5: Solve for x
   x = 35,613,728,656/89,708
6. Step 6: Final answer
   x = 396,996.13