Finding the Third Proportional to 105,408 and 139,968

Step by Step Solution

1. Step 1: Write the proportion equation
   105,408 : 139,968 = 139,968 : x
2. Step 2: Convert to fraction form
   105,408/139,968 = 139,968/x
3. Step 3: Cross multiply
   105,408x = 139,968 × 139,968
4. Step 4: Simplify right side
   105,408x = 19,591,041,024
5. Step 5: Solve for x
   x = 19,591,041,024/105,408
6. Step 6: Final answer
   x = 185,859.15