Finding the Third Proportional to 79,023 and 174,057

Step by Step Solution

1. Step 1: Write the proportion equation
   79,023 : 174,057 = 174,057 : x
2. Step 2: Convert to fraction form
   79,023/174,057 = 174,057/x
3. Step 3: Cross multiply
   79,023x = 174,057 × 174,057
4. Step 4: Simplify right side
   79,023x = 30,295,839,249
5. Step 5: Solve for x
   x = 30,295,839,249/79,023
6. Step 6: Final answer
   x = 383,380.02