Finding the Third Proportional to 89,696 and 188,684

Step by Step Solution

1. Step 1: Write the proportion equation
   89,696 : 188,684 = 188,684 : x
2. Step 2: Convert to fraction form
   89,696/188,684 = 188,684/x
3. Step 3: Cross multiply
   89,696x = 188,684 × 188,684
4. Step 4: Simplify right side
   89,696x = 35,601,651,856
5. Step 5: Solve for x
   x = 35,601,651,856/89,696
6. Step 6: Final answer
   x = 396,914.60