Finding the Third Proportional to 79,576 and 175,144

Step by Step Solution

1. Step 1: Write the proportion equation
   79,576 : 175,144 = 175,144 : x
2. Step 2: Convert to fraction form
   79,576/175,144 = 175,144/x
3. Step 3: Cross multiply
   79,576x = 175,144 × 175,144
4. Step 4: Simplify right side
   79,576x = 30,675,420,736
5. Step 5: Solve for x
   x = 30,675,420,736/79,576
6. Step 6: Final answer
   x = 385,485.83