Finding the Third Proportional to 41,204 and 88,978

Step by Step Solution

1. Step 1: Write the proportion equation
   41,204 : 88,978 = 88,978 : x
2. Step 2: Convert to fraction form
   41,204/88,978 = 88,978/x
3. Step 3: Cross multiply
   41,204x = 88,978 × 88,978
4. Step 4: Simplify right side
   41,204x = 7,917,084,484
5. Step 5: Solve for x
   x = 7,917,084,484/41,204
6. Step 6: Final answer
   x = 192,143.59