Finding the Third Proportional to 78,792 and 172,892

Step by Step Solution

1. Step 1: Write the proportion equation
   78,792 : 172,892 = 172,892 : x
2. Step 2: Convert to fraction form
   78,792/172,892 = 172,892/x
3. Step 3: Cross multiply
   78,792x = 172,892 × 172,892
4. Step 4: Simplify right side
   78,792x = 29,891,643,664
5. Step 5: Solve for x
   x = 29,891,643,664/78,792
6. Step 6: Final answer
   x = 379,374.09