Finding the Third Proportional to 80,509.50 and 174,856.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,509.50 : 174,856.50 = 174,856.50 : x
2. Step 2: Convert to fraction form
   80,509.50/174,856.50 = 174,856.50/x
3. Step 3: Cross multiply
   80,509.50x = 174,856.50 × 174,856.50
4. Step 4: Simplify right side
   80,509.50x = 30,574,795,592.25
5. Step 5: Solve for x
   x = 30,574,795,592.25/80,509.50
6. Step 6: Final answer
   x = 379,766.31