Finding the Third Proportional to 81,282 and 173,836

Step by Step Solution

1. Step 1: Write the proportion equation
   81,282 : 173,836 = 173,836 : x
2. Step 2: Convert to fraction form
   81,282/173,836 = 173,836/x
3. Step 3: Cross multiply
   81,282x = 173,836 × 173,836
4. Step 4: Simplify right side
   81,282x = 30,218,954,896
5. Step 5: Solve for x
   x = 30,218,954,896/81,282
6. Step 6: Final answer
   x = 371,779.17