Finding the Third Proportional to 50,619 and 76,540.50

Step by Step Solution

1. Step 1: Write the proportion equation
   50,619 : 76,540.50 = 76,540.50 : x
2. Step 2: Convert to fraction form
   50,619/76,540.50 = 76,540.50/x
3. Step 3: Cross multiply
   50,619x = 76,540.50 × 76,540.50
4. Step 4: Simplify right side
   50,619x = 5,858,448,140.25
5. Step 5: Solve for x
   x = 5,858,448,140.25/50,619
6. Step 6: Final answer
   x = 115,736.15