Finding the Third Proportional to 111,408 and 173,888

Step by Step Solution

1. Step 1: Write the proportion equation
   111,408 : 173,888 = 173,888 : x
2. Step 2: Convert to fraction form
   111,408/173,888 = 173,888/x
3. Step 3: Cross multiply
   111,408x = 173,888 × 173,888
4. Step 4: Simplify right side
   111,408x = 30,237,036,544
5. Step 5: Solve for x
   x = 30,237,036,544/111,408
6. Step 6: Final answer
   x = 271,408.13