Finding the Third Proportional to 50,458 and 118,942

Step by Step Solution

1. Step 1: Write the proportion equation
   50,458 : 118,942 = 118,942 : x
2. Step 2: Convert to fraction form
   50,458/118,942 = 118,942/x
3. Step 3: Cross multiply
   50,458x = 118,942 × 118,942
4. Step 4: Simplify right side
   50,458x = 14,147,199,364
5. Step 5: Solve for x
   x = 14,147,199,364/50,458
6. Step 6: Final answer
   x = 280,375.75