Finding the Third Proportional to 80,440 and 105,780

Step by Step Solution

1. Step 1: Write the proportion equation
   80,440 : 105,780 = 105,780 : x
2. Step 2: Convert to fraction form
   80,440/105,780 = 105,780/x
3. Step 3: Cross multiply
   80,440x = 105,780 × 105,780
4. Step 4: Simplify right side
   80,440x = 11,189,408,400
5. Step 5: Solve for x
   x = 11,189,408,400/80,440
6. Step 6: Final answer
   x = 139,102.54