Finding the Third Proportional to 89,701 and 188,696

Step by Step Solution

1. Step 1: Write the proportion equation
   89,701 : 188,696 = 188,696 : x
2. Step 2: Convert to fraction form
   89,701/188,696 = 188,696/x
3. Step 3: Cross multiply
   89,701x = 188,696 × 188,696
4. Step 4: Simplify right side
   89,701x = 35,606,180,416
5. Step 5: Solve for x
   x = 35,606,180,416/89,701
6. Step 6: Final answer
   x = 396,942.96