Finding the Third Proportional to 39,978 and 87,792

Step by Step Solution

1. Step 1: Write the proportion equation
   39,978 : 87,792 = 87,792 : x
2. Step 2: Convert to fraction form
   39,978/87,792 = 87,792/x
3. Step 3: Cross multiply
   39,978x = 87,792 × 87,792
4. Step 4: Simplify right side
   39,978x = 7,707,435,264
5. Step 5: Solve for x
   x = 7,707,435,264/39,978
6. Step 6: Final answer
   x = 192,791.92