Finding the Third Proportional to 50,309 and 118,766

Step by Step Solution

1. Step 1: Write the proportion equation
   50,309 : 118,766 = 118,766 : x
2. Step 2: Convert to fraction form
   50,309/118,766 = 118,766/x
3. Step 3: Cross multiply
   50,309x = 118,766 × 118,766
4. Step 4: Simplify right side
   50,309x = 14,105,362,756
5. Step 5: Solve for x
   x = 14,105,362,756/50,309
6. Step 6: Final answer
   x = 280,374.54