Finding the Third Proportional to 79,562 and 175,684

Step by Step Solution

1. Step 1: Write the proportion equation
   79,562 : 175,684 = 175,684 : x
2. Step 2: Convert to fraction form
   79,562/175,684 = 175,684/x
3. Step 3: Cross multiply
   79,562x = 175,684 × 175,684
4. Step 4: Simplify right side
   79,562x = 30,864,867,856
5. Step 5: Solve for x
   x = 30,864,867,856/79,562
6. Step 6: Final answer
   x = 387,934.79