Finding the Third Proportional to 50,191 and 103,662

Step by Step Solution

1. Step 1: Write the proportion equation
   50,191 : 103,662 = 103,662 : x
2. Step 2: Convert to fraction form
   50,191/103,662 = 103,662/x
3. Step 3: Cross multiply
   50,191x = 103,662 × 103,662
4. Step 4: Simplify right side
   50,191x = 10,745,810,244
5. Step 5: Solve for x
   x = 10,745,810,244/50,191
6. Step 6: Final answer
   x = 214,098.35