Finding the Third Proportional to 78,568 and 169,688

Step by Step Solution

1. Step 1: Write the proportion equation
   78,568 : 169,688 = 169,688 : x
2. Step 2: Convert to fraction form
   78,568/169,688 = 169,688/x
3. Step 3: Cross multiply
   78,568x = 169,688 × 169,688
4. Step 4: Simplify right side
   78,568x = 28,794,017,344
5. Step 5: Solve for x
   x = 28,794,017,344/78,568
6. Step 6: Final answer
   x = 366,485.30