Finding the Third Proportional to 78,917 and 173,386

Step by Step Solution

1. Step 1: Write the proportion equation
   78,917 : 173,386 = 173,386 : x
2. Step 2: Convert to fraction form
   78,917/173,386 = 173,386/x
3. Step 3: Cross multiply
   78,917x = 173,386 × 173,386
4. Step 4: Simplify right side
   78,917x = 30,062,704,996
5. Step 5: Solve for x
   x = 30,062,704,996/78,917
6. Step 6: Final answer
   x = 380,940.80