Finding the Third Proportional to 49,891.50 and 78,986.75

Step by Step Solution

1. Step 1: Write the proportion equation
   49,891.50 : 78,986.75 = 78,986.75 : x
2. Step 2: Convert to fraction form
   49,891.50/78,986.75 = 78,986.75/x
3. Step 3: Cross multiply
   49,891.50x = 78,986.75 × 78,986.75
4. Step 4: Simplify right side
   49,891.50x = 6,238,906,675.56
5. Step 5: Solve for x
   x = 6,238,906,675.56/49,891.50
6. Step 6: Final answer
   x = 125,049.49