Finding the Third Proportional to 41,176 and 90,064

Step by Step Solution

1. Step 1: Write the proportion equation
   41,176 : 90,064 = 90,064 : x
2. Step 2: Convert to fraction form
   41,176/90,064 = 90,064/x
3. Step 3: Cross multiply
   41,176x = 90,064 × 90,064
4. Step 4: Simplify right side
   41,176x = 8,111,524,096
5. Step 5: Solve for x
   x = 8,111,524,096/41,176
6. Step 6: Final answer
   x = 196,996.41