Finding the Third Proportional to 41,388 and 89,978

Step by Step Solution

1. Step 1: Write the proportion equation
   41,388 : 89,978 = 89,978 : x
2. Step 2: Convert to fraction form
   41,388/89,978 = 89,978/x
3. Step 3: Cross multiply
   41,388x = 89,978 × 89,978
4. Step 4: Simplify right side
   41,388x = 8,096,040,484
5. Step 5: Solve for x
   x = 8,096,040,484/41,388
6. Step 6: Final answer
   x = 195,613.23