Finding the Third Proportional to 80,866.50 and 175,478.25

Step by Step Solution

1. Step 1: Write the proportion equation
   80,866.50 : 175,478.25 = 175,478.25 : x
2. Step 2: Convert to fraction form
   80,866.50/175,478.25 = 175,478.25/x
3. Step 3: Cross multiply
   80,866.50x = 175,478.25 × 175,478.25
4. Step 4: Simplify right side
   80,866.50x = 30,792,616,223.06
5. Step 5: Solve for x
   x = 30,792,616,223.06/80,866.50
6. Step 6: Final answer
   x = 380,783.34