Finding the Third Proportional to 80,426 and 105,087

Step by Step Solution

1. Step 1: Write the proportion equation
   80,426 : 105,087 = 105,087 : x
2. Step 2: Convert to fraction form
   80,426/105,087 = 105,087/x
3. Step 3: Cross multiply
   80,426x = 105,087 × 105,087
4. Step 4: Simplify right side
   80,426x = 11,043,277,569
5. Step 5: Solve for x
   x = 11,043,277,569/80,426
6. Step 6: Final answer
   x = 137,309.79