Finding the Third Proportional to 80,474 and 174,386

Step by Step Solution

1. Step 1: Write the proportion equation
   80,474 : 174,386 = 174,386 : x
2. Step 2: Convert to fraction form
   80,474/174,386 = 174,386/x
3. Step 3: Cross multiply
   80,474x = 174,386 × 174,386
4. Step 4: Simplify right side
   80,474x = 30,410,476,996
5. Step 5: Solve for x
   x = 30,410,476,996/80,474
6. Step 6: Final answer
   x = 377,891.95