Finding the Third Proportional to 41,813 and 90,441.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,813 : 90,441.50 = 90,441.50 : x
2. Step 2: Convert to fraction form
   41,813/90,441.50 = 90,441.50/x
3. Step 3: Cross multiply
   41,813x = 90,441.50 × 90,441.50
4. Step 4: Simplify right side
   41,813x = 8,179,664,922.25
5. Step 5: Solve for x
   x = 8,179,664,922.25/41,813
6. Step 6: Final answer
   x = 195,624.92