Finding the Third Proportional to 50,947.50 and 119,877.25

Step by Step Solution

1. Step 1: Write the proportion equation
   50,947.50 : 119,877.25 = 119,877.25 : x
2. Step 2: Convert to fraction form
   50,947.50/119,877.25 = 119,877.25/x
3. Step 3: Cross multiply
   50,947.50x = 119,877.25 × 119,877.25
4. Step 4: Simplify right side
   50,947.50x = 14,370,555,067.56
5. Step 5: Solve for x
   x = 14,370,555,067.56/50,947.50
6. Step 6: Final answer
   x = 282,065.95