Finding the Third Proportional to 78,934 and 173,420

Step by Step Solution

1. Step 1: Write the proportion equation
   78,934 : 173,420 = 173,420 : x
2. Step 2: Convert to fraction form
   78,934/173,420 = 173,420/x
3. Step 3: Cross multiply
   78,934x = 173,420 × 173,420
4. Step 4: Simplify right side
   78,934x = 30,074,496,400
5. Step 5: Solve for x
   x = 30,074,496,400/78,934
6. Step 6: Final answer
   x = 381,008.14