Finding the Third Proportional to 79,544 and 174,398

Step by Step Solution

1. Step 1: Write the proportion equation
   79,544 : 174,398 = 174,398 : x
2. Step 2: Convert to fraction form
   79,544/174,398 = 174,398/x
3. Step 3: Cross multiply
   79,544x = 174,398 × 174,398
4. Step 4: Simplify right side
   79,544x = 30,414,662,404
5. Step 5: Solve for x
   x = 30,414,662,404/79,544
6. Step 6: Final answer
   x = 382,362.75