Finding the Third Proportional to 54,378.50 and 76,578.25

Step by Step Solution

1. Step 1: Write the proportion equation
   54,378.50 : 76,578.25 = 76,578.25 : x
2. Step 2: Convert to fraction form
   54,378.50/76,578.25 = 76,578.25/x
3. Step 3: Cross multiply
   54,378.50x = 76,578.25 × 76,578.25
4. Step 4: Simplify right side
   54,378.50x = 5,864,228,373.06
5. Step 5: Solve for x
   x = 5,864,228,373.06/54,378.50
6. Step 6: Final answer
   x = 107,840.94