Finding the Third Proportional to 50,220.50 and 75,978.75

Step by Step Solution

1. Step 1: Write the proportion equation
   50,220.50 : 75,978.75 = 75,978.75 : x
2. Step 2: Convert to fraction form
   50,220.50/75,978.75 = 75,978.75/x
3. Step 3: Cross multiply
   50,220.50x = 75,978.75 × 75,978.75
4. Step 4: Simplify right side
   50,220.50x = 5,772,770,451.56
5. Step 5: Solve for x
   x = 5,772,770,451.56/50,220.50
6. Step 6: Final answer
   x = 114,948.49