Finding the Third Proportional to 50,179.50 and 75,694.50

Step by Step Solution

1. Step 1: Write the proportion equation
   50,179.50 : 75,694.50 = 75,694.50 : x
2. Step 2: Convert to fraction form
   50,179.50/75,694.50 = 75,694.50/x
3. Step 3: Cross multiply
   50,179.50x = 75,694.50 × 75,694.50
4. Step 4: Simplify right side
   50,179.50x = 5,729,657,330.25
5. Step 5: Solve for x
   x = 5,729,657,330.25/50,179.50
6. Step 6: Final answer
   x = 114,183.23