Finding the Third Proportional to 78,674 and 169,912

Step by Step Solution

1. Step 1: Write the proportion equation
   78,674 : 169,912 = 169,912 : x
2. Step 2: Convert to fraction form
   78,674/169,912 = 169,912/x
3. Step 3: Cross multiply
   78,674x = 169,912 × 169,912
4. Step 4: Simplify right side
   78,674x = 28,870,087,744
5. Step 5: Solve for x
   x = 28,870,087,744/78,674
6. Step 6: Final answer
   x = 366,958.43