Finding the Third Proportional to 76,792.50 and 159,715.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,792.50 : 159,715.50 = 159,715.50 : x
2. Step 2: Convert to fraction form
   76,792.50/159,715.50 = 159,715.50/x
3. Step 3: Cross multiply
   76,792.50x = 159,715.50 × 159,715.50
4. Step 4: Simplify right side
   76,792.50x = 25,509,040,940.25
5. Step 5: Solve for x
   x = 25,509,040,940.25/76,792.50
6. Step 6: Final answer
   x = 332,181.41