Finding the Third Proportional to 81,792 and 182,144

Step by Step Solution

1. Step 1: Write the proportion equation
   81,792 : 182,144 = 182,144 : x
2. Step 2: Convert to fraction form
   81,792/182,144 = 182,144/x
3. Step 3: Cross multiply
   81,792x = 182,144 × 182,144
4. Step 4: Simplify right side
   81,792x = 33,176,436,736
5. Step 5: Solve for x
   x = 33,176,436,736/81,792
6. Step 6: Final answer
   x = 405,619.58