Finding the Third Proportional to 49,380.75 and 76,578.75

Step by Step Solution

1. Step 1: Write the proportion equation
   49,380.75 : 76,578.75 = 76,578.75 : x
2. Step 2: Convert to fraction form
   49,380.75/76,578.75 = 76,578.75/x
3. Step 3: Cross multiply
   49,380.75x = 76,578.75 × 76,578.75
4. Step 4: Simplify right side
   49,380.75x = 5,864,304,951.56
5. Step 5: Solve for x
   x = 5,864,304,951.56/49,380.75
6. Step 6: Final answer
   x = 118,756.90