Finding the Third Proportional to 78,998 and 173,302

Step by Step Solution

1. Step 1: Write the proportion equation
   78,998 : 173,302 = 173,302 : x
2. Step 2: Convert to fraction form
   78,998/173,302 = 173,302/x
3. Step 3: Cross multiply
   78,998x = 173,302 × 173,302
4. Step 4: Simplify right side
   78,998x = 30,033,583,204
5. Step 5: Solve for x
   x = 30,033,583,204/78,998
6. Step 6: Final answer
   x = 380,181.56