Finding the Third Proportional to 80,427 and 105,761

Step by Step Solution

1. Step 1: Write the proportion equation
   80,427 : 105,761 = 105,761 : x
2. Step 2: Convert to fraction form
   80,427/105,761 = 105,761/x
3. Step 3: Cross multiply
   80,427x = 105,761 × 105,761
4. Step 4: Simplify right side
   80,427x = 11,185,389,121
5. Step 5: Solve for x
   x = 11,185,389,121/80,427
6. Step 6: Final answer
   x = 139,075.05