Finding the Third Proportional to 41,664 and 90,436

Step by Step Solution

1. Step 1: Write the proportion equation
   41,664 : 90,436 = 90,436 : x
2. Step 2: Convert to fraction form
   41,664/90,436 = 90,436/x
3. Step 3: Cross multiply
   41,664x = 90,436 × 90,436
4. Step 4: Simplify right side
   41,664x = 8,178,670,096
5. Step 5: Solve for x
   x = 8,178,670,096/41,664
6. Step 6: Final answer
   x = 196,300.65