Finding the Third Proportional to 78,578 and 169,706

Step by Step Solution

1. Step 1: Write the proportion equation
   78,578 : 169,706 = 169,706 : x
2. Step 2: Convert to fraction form
   78,578/169,706 = 169,706/x
3. Step 3: Cross multiply
   78,578x = 169,706 × 169,706
4. Step 4: Simplify right side
   78,578x = 28,800,126,436
5. Step 5: Solve for x
   x = 28,800,126,436/78,578
6. Step 6: Final answer
   x = 366,516.41