Finding the Third Proportional to 79,618 and 174,004

Step by Step Solution

1. Step 1: Write the proportion equation
   79,618 : 174,004 = 174,004 : x
2. Step 2: Convert to fraction form
   79,618/174,004 = 174,004/x
3. Step 3: Cross multiply
   79,618x = 174,004 × 174,004
4. Step 4: Simplify right side
   79,618x = 30,277,392,016
5. Step 5: Solve for x
   x = 30,277,392,016/79,618
6. Step 6: Final answer
   x = 380,283.25