Finding the Third Proportional to 80,510 and 105,894

Step by Step Solution

1. Step 1: Write the proportion equation
   80,510 : 105,894 = 105,894 : x
2. Step 2: Convert to fraction form
   80,510/105,894 = 105,894/x
3. Step 3: Cross multiply
   80,510x = 105,894 × 105,894
4. Step 4: Simplify right side
   80,510x = 11,213,539,236
5. Step 5: Solve for x
   x = 11,213,539,236/80,510
6. Step 6: Final answer
   x = 139,281.32