Finding the Third Proportional to 81,792 and 176,960

Step by Step Solution

1. Step 1: Write the proportion equation
   81,792 : 176,960 = 176,960 : x
2. Step 2: Convert to fraction form
   81,792/176,960 = 176,960/x
3. Step 3: Cross multiply
   81,792x = 176,960 × 176,960
4. Step 4: Simplify right side
   81,792x = 31,314,841,600
5. Step 5: Solve for x
   x = 31,314,841,600/81,792
6. Step 6: Final answer
   x = 382,859.47