Finding the Third Proportional to 79,551 and 173,655

Step by Step Solution

1. Step 1: Write the proportion equation
   79,551 : 173,655 = 173,655 : x
2. Step 2: Convert to fraction form
   79,551/173,655 = 173,655/x
3. Step 3: Cross multiply
   79,551x = 173,655 × 173,655
4. Step 4: Simplify right side
   79,551x = 30,156,059,025
5. Step 5: Solve for x
   x = 30,156,059,025/79,551
6. Step 6: Final answer
   x = 379,078.31