Finding the Third Proportional to 80,692 and 172,468

Step by Step Solution

1. Step 1: Write the proportion equation
   80,692 : 172,468 = 172,468 : x
2. Step 2: Convert to fraction form
   80,692/172,468 = 172,468/x
3. Step 3: Cross multiply
   80,692x = 172,468 × 172,468
4. Step 4: Simplify right side
   80,692x = 29,745,211,024
5. Step 5: Solve for x
   x = 29,745,211,024/80,692
6. Step 6: Final answer
   x = 368,626.52