Finding the Third Proportional to 80,436 and 105,774

Step by Step Solution

1. Step 1: Write the proportion equation
   80,436 : 105,774 = 105,774 : x
2. Step 2: Convert to fraction form
   80,436/105,774 = 105,774/x
3. Step 3: Cross multiply
   80,436x = 105,774 × 105,774
4. Step 4: Simplify right side
   80,436x = 11,188,139,076
5. Step 5: Solve for x
   x = 11,188,139,076/80,436
6. Step 6: Final answer
   x = 139,093.68