Finding the Third Proportional to 50,872.50 and 77,826.75

Step by Step Solution

1. Step 1: Write the proportion equation
   50,872.50 : 77,826.75 = 77,826.75 : x
2. Step 2: Convert to fraction form
   50,872.50/77,826.75 = 77,826.75/x
3. Step 3: Cross multiply
   50,872.50x = 77,826.75 × 77,826.75
4. Step 4: Simplify right side
   50,872.50x = 6,057,003,015.56
5. Step 5: Solve for x
   x = 6,057,003,015.56/50,872.50
6. Step 6: Final answer
   x = 119,062.42