Finding the Third Proportional to 78,928 and 173,408

Step by Step Solution

1. Step 1: Write the proportion equation
   78,928 : 173,408 = 173,408 : x
2. Step 2: Convert to fraction form
   78,928/173,408 = 173,408/x
3. Step 3: Cross multiply
   78,928x = 173,408 × 173,408
4. Step 4: Simplify right side
   78,928x = 30,070,334,464
5. Step 5: Solve for x
   x = 30,070,334,464/78,928
6. Step 6: Final answer
   x = 380,984.37