Finding the Third Proportional to 78,716 and 169,870

Step by Step Solution

1. Step 1: Write the proportion equation
   78,716 : 169,870 = 169,870 : x
2. Step 2: Convert to fraction form
   78,716/169,870 = 169,870/x
3. Step 3: Cross multiply
   78,716x = 169,870 × 169,870
4. Step 4: Simplify right side
   78,716x = 28,855,816,900
5. Step 5: Solve for x
   x = 28,855,816,900/78,716
6. Step 6: Final answer
   x = 366,581.34