Finding the Third Proportional to 50,162 and 118,407

Step by Step Solution

1. Step 1: Write the proportion equation
   50,162 : 118,407 = 118,407 : x
2. Step 2: Convert to fraction form
   50,162/118,407 = 118,407/x
3. Step 3: Cross multiply
   50,162x = 118,407 × 118,407
4. Step 4: Simplify right side
   50,162x = 14,020,217,649
5. Step 5: Solve for x
   x = 14,020,217,649/50,162
6. Step 6: Final answer
   x = 279,498.78