Finding the Third Proportional to 80,441 and 171,562

Step by Step Solution

1. Step 1: Write the proportion equation
   80,441 : 171,562 = 171,562 : x
2. Step 2: Convert to fraction form
   80,441/171,562 = 171,562/x
3. Step 3: Cross multiply
   80,441x = 171,562 × 171,562
4. Step 4: Simplify right side
   80,441x = 29,433,519,844
5. Step 5: Solve for x
   x = 29,433,519,844/80,441
6. Step 6: Final answer
   x = 365,901.96