Finding the Third Proportional to 78,924 and 173,400

Step by Step Solution

1. Step 1: Write the proportion equation
   78,924 : 173,400 = 173,400 : x
2. Step 2: Convert to fraction form
   78,924/173,400 = 173,400/x
3. Step 3: Cross multiply
   78,924x = 173,400 × 173,400
4. Step 4: Simplify right side
   78,924x = 30,067,560,000
5. Step 5: Solve for x
   x = 30,067,560,000/78,924
6. Step 6: Final answer
   x = 380,968.53