Finding the Third Proportional to 50,408 and 109,888

Step by Step Solution

1. Step 1: Write the proportion equation
   50,408 : 109,888 = 109,888 : x
2. Step 2: Convert to fraction form
   50,408/109,888 = 109,888/x
3. Step 3: Cross multiply
   50,408x = 109,888 × 109,888
4. Step 4: Simplify right side
   50,408x = 12,075,372,544
5. Step 5: Solve for x
   x = 12,075,372,544/50,408
6. Step 6: Final answer
   x = 239,552.70