Finding the Third Proportional to 78,869 and 173,005

Step by Step Solution

1. Step 1: Write the proportion equation
   78,869 : 173,005 = 173,005 : x
2. Step 2: Convert to fraction form
   78,869/173,005 = 173,005/x
3. Step 3: Cross multiply
   78,869x = 173,005 × 173,005
4. Step 4: Simplify right side
   78,869x = 29,930,730,025
5. Step 5: Solve for x
   x = 29,930,730,025/78,869
6. Step 6: Final answer
   x = 379,499.30