Finding the Third Proportional to 50,174 and 105,976

Step by Step Solution

1. Step 1: Write the proportion equation
   50,174 : 105,976 = 105,976 : x
2. Step 2: Convert to fraction form
   50,174/105,976 = 105,976/x
3. Step 3: Cross multiply
   50,174x = 105,976 × 105,976
4. Step 4: Simplify right side
   50,174x = 11,230,912,576
5. Step 5: Solve for x
   x = 11,230,912,576/50,174
6. Step 6: Final answer
   x = 223,839.29