Finding the Third Proportional to 111,993 and 173,407

Step by Step Solution

1. Step 1: Write the proportion equation
   111,993 : 173,407 = 173,407 : x
2. Step 2: Convert to fraction form
   111,993/173,407 = 173,407/x
3. Step 3: Cross multiply
   111,993x = 173,407 × 173,407
4. Step 4: Simplify right side
   111,993x = 30,069,987,649
5. Step 5: Solve for x
   x = 30,069,987,649/111,993
6. Step 6: Final answer
   x = 268,498.81