Finding the Third Proportional to 80,695 and 172,508

Step by Step Solution

1. Step 1: Write the proportion equation
   80,695 : 172,508 = 172,508 : x
2. Step 2: Convert to fraction form
   80,695/172,508 = 172,508/x
3. Step 3: Cross multiply
   80,695x = 172,508 × 172,508
4. Step 4: Simplify right side
   80,695x = 29,759,010,064
5. Step 5: Solve for x
   x = 29,759,010,064/80,695
6. Step 6: Final answer
   x = 368,783.82