Finding the Third Proportional to 80,578.50 and 175,918.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,578.50 : 175,918.50 = 175,918.50 : x
2. Step 2: Convert to fraction form
   80,578.50/175,918.50 = 175,918.50/x
3. Step 3: Cross multiply
   80,578.50x = 175,918.50 × 175,918.50
4. Step 4: Simplify right side
   80,578.50x = 30,947,318,642.25
5. Step 5: Solve for x
   x = 30,947,318,642.25/80,578.50
6. Step 6: Final answer
   x = 384,064.22