Finding the Third Proportional to 80,404 and 174,648

Step by Step Solution

1. Step 1: Write the proportion equation
   80,404 : 174,648 = 174,648 : x
2. Step 2: Convert to fraction form
   80,404/174,648 = 174,648/x
3. Step 3: Cross multiply
   80,404x = 174,648 × 174,648
4. Step 4: Simplify right side
   80,404x = 30,501,923,904
5. Step 5: Solve for x
   x = 30,501,923,904/80,404
6. Step 6: Final answer
   x = 379,358.29