Finding the Third Proportional to 165,792 and 254,976

Step by Step Solution

1. Step 1: Write the proportion equation
   165,792 : 254,976 = 254,976 : x
2. Step 2: Convert to fraction form
   165,792/254,976 = 254,976/x
3. Step 3: Cross multiply
   165,792x = 254,976 × 254,976
4. Step 4: Simplify right side
   165,792x = 65,012,760,576
5. Step 5: Solve for x
   x = 65,012,760,576/165,792
6. Step 6: Final answer
   x = 392,134.49