Finding the Third Proportional to 50,380 and 105,942

Step by Step Solution

1. Step 1: Write the proportion equation
   50,380 : 105,942 = 105,942 : x
2. Step 2: Convert to fraction form
   50,380/105,942 = 105,942/x
3. Step 3: Cross multiply
   50,380x = 105,942 × 105,942
4. Step 4: Simplify right side
   50,380x = 11,223,707,364
5. Step 5: Solve for x
   x = 11,223,707,364/50,380
6. Step 6: Final answer
   x = 222,781.01