Finding the Third Proportional to 89,892 and 195,639.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,892 : 195,639.50 = 195,639.50 : x
2. Step 2: Convert to fraction form
   89,892/195,639.50 = 195,639.50/x
3. Step 3: Cross multiply
   89,892x = 195,639.50 × 195,639.50
4. Step 4: Simplify right side
   89,892x = 38,274,813,960.25
5. Step 5: Solve for x
   x = 38,274,813,960.25/89,892
6. Step 6: Final answer
   x = 425,786.65