Finding the Third Proportional to 50,364 and 105,912

Step by Step Solution

1. Step 1: Write the proportion equation
   50,364 : 105,912 = 105,912 : x
2. Step 2: Convert to fraction form
   50,364/105,912 = 105,912/x
3. Step 3: Cross multiply
   50,364x = 105,912 × 105,912
4. Step 4: Simplify right side
   50,364x = 11,217,351,744
5. Step 5: Solve for x
   x = 11,217,351,744/50,364
6. Step 6: Final answer
   x = 222,725.59