Finding the Third Proportional to 89,684 and 188,662.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,684 : 188,662.50 = 188,662.50 : x
2. Step 2: Convert to fraction form
   89,684/188,662.50 = 188,662.50/x
3. Step 3: Cross multiply
   89,684x = 188,662.50 × 188,662.50
4. Step 4: Simplify right side
   89,684x = 35,593,538,906.25
5. Step 5: Solve for x
   x = 35,593,538,906.25/89,684
6. Step 6: Final answer
   x = 396,877.25