Finding the Third Proportional to 78,436 and 170,976

Step by Step Solution

1. Step 1: Write the proportion equation
   78,436 : 170,976 = 170,976 : x
2. Step 2: Convert to fraction form
   78,436/170,976 = 170,976/x
3. Step 3: Cross multiply
   78,436x = 170,976 × 170,976
4. Step 4: Simplify right side
   78,436x = 29,232,792,576
5. Step 5: Solve for x
   x = 29,232,792,576/78,436
6. Step 6: Final answer
   x = 372,696.12