Finding the Third Proportional to 78,684 and 170,494

Step by Step Solution

1. Step 1: Write the proportion equation
   78,684 : 170,494 = 170,494 : x
2. Step 2: Convert to fraction form
   78,684/170,494 = 170,494/x
3. Step 3: Cross multiply
   78,684x = 170,494 × 170,494
4. Step 4: Simplify right side
   78,684x = 29,068,204,036
5. Step 5: Solve for x
   x = 29,068,204,036/78,684
6. Step 6: Final answer
   x = 369,429.67