Finding the Third Proportional to 50,092 and 118,462

Step by Step Solution

1. Step 1: Write the proportion equation
   50,092 : 118,462 = 118,462 : x
2. Step 2: Convert to fraction form
   50,092/118,462 = 118,462/x
3. Step 3: Cross multiply
   50,092x = 118,462 × 118,462
4. Step 4: Simplify right side
   50,092x = 14,033,245,444
5. Step 5: Solve for x
   x = 14,033,245,444/50,092
6. Step 6: Final answer
   x = 280,149.43