Finding the Third Proportional to 80,428 and 105,762

Step by Step Solution

1. Step 1: Write the proportion equation
   80,428 : 105,762 = 105,762 : x
2. Step 2: Convert to fraction form
   80,428/105,762 = 105,762/x
3. Step 3: Cross multiply
   80,428x = 105,762 × 105,762
4. Step 4: Simplify right side
   80,428x = 11,185,600,644
5. Step 5: Solve for x
   x = 11,185,600,644/80,428
6. Step 6: Final answer
   x = 139,075.95