Finding the Third Proportional to 80,019 and 174,438

Step by Step Solution

1. Step 1: Write the proportion equation
   80,019 : 174,438 = 174,438 : x
2. Step 2: Convert to fraction form
   80,019/174,438 = 174,438/x
3. Step 3: Cross multiply
   80,019x = 174,438 × 174,438
4. Step 4: Simplify right side
   80,019x = 30,428,615,844
5. Step 5: Solve for x
   x = 30,428,615,844/80,019
6. Step 6: Final answer
   x = 380,267.38