Finding the Third Proportional to 89,688.38 and 188,671.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,688.38 : 188,671.50 = 188,671.50 : x
2. Step 2: Convert to fraction form
   89,688.38/188,671.50 = 188,671.50/x
3. Step 3: Cross multiply
   89,688.38x = 188,671.50 × 188,671.50
4. Step 4: Simplify right side
   89,688.38x = 35,596,934,912.25
5. Step 5: Solve for x
   x = 35,596,934,912.25/89,688.38
6. Step 6: Final answer
   x = 396,895.75