Finding the Third Proportional to 50,138 and 104,408

Step by Step Solution

1. Step 1: Write the proportion equation
   50,138 : 104,408 = 104,408 : x
2. Step 2: Convert to fraction form
   50,138/104,408 = 104,408/x
3. Step 3: Cross multiply
   50,138x = 104,408 × 104,408
4. Step 4: Simplify right side
   50,138x = 10,901,030,464
5. Step 5: Solve for x
   x = 10,901,030,464/50,138
6. Step 6: Final answer
   x = 217,420.53