Finding the Third Proportional to 79,538 and 175,636

Step by Step Solution

1. Step 1: Write the proportion equation
   79,538 : 175,636 = 175,636 : x
2. Step 2: Convert to fraction form
   79,538/175,636 = 175,636/x
3. Step 3: Cross multiply
   79,538x = 175,636 × 175,636
4. Step 4: Simplify right side
   79,538x = 30,848,004,496
5. Step 5: Solve for x
   x = 30,848,004,496/79,538
6. Step 6: Final answer
   x = 387,839.83