Finding the Third Proportional to 80,696 and 172,470

Step by Step Solution

1. Step 1: Write the proportion equation
   80,696 : 172,470 = 172,470 : x
2. Step 2: Convert to fraction form
   80,696/172,470 = 172,470/x
3. Step 3: Cross multiply
   80,696x = 172,470 × 172,470
4. Step 4: Simplify right side
   80,696x = 29,745,900,900
5. Step 5: Solve for x
   x = 29,745,900,900/80,696
6. Step 6: Final answer
   x = 368,616.80