Finding the Third Proportional to 80,578 and 172,826

Step by Step Solution

1. Step 1: Write the proportion equation
   80,578 : 172,826 = 172,826 : x
2. Step 2: Convert to fraction form
   80,578/172,826 = 172,826/x
3. Step 3: Cross multiply
   80,578x = 172,826 × 172,826
4. Step 4: Simplify right side
   80,578x = 29,868,826,276
5. Step 5: Solve for x
   x = 29,868,826,276/80,578
6. Step 6: Final answer
   x = 370,682.15