Finding the Third Proportional to 41,664 and 90,433.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,664 : 90,433.50 = 90,433.50 : x
2. Step 2: Convert to fraction form
   41,664/90,433.50 = 90,433.50/x
3. Step 3: Cross multiply
   41,664x = 90,433.50 × 90,433.50
4. Step 4: Simplify right side
   41,664x = 8,178,217,922.25
5. Step 5: Solve for x
   x = 8,178,217,922.25/41,664
6. Step 6: Final answer
   x = 196,289.79