Finding the Third Proportional to 80,439 and 105,778

Step by Step Solution

1. Step 1: Write the proportion equation
   80,439 : 105,778 = 105,778 : x
2. Step 2: Convert to fraction form
   80,439/105,778 = 105,778/x
3. Step 3: Cross multiply
   80,439x = 105,778 × 105,778
4. Step 4: Simplify right side
   80,439x = 11,188,985,284
5. Step 5: Solve for x
   x = 11,188,985,284/80,439
6. Step 6: Final answer
   x = 139,099.01