Finding the Third Proportional to 78,692 and 169,949

Step by Step Solution

1. Step 1: Write the proportion equation
   78,692 : 169,949 = 169,949 : x
2. Step 2: Convert to fraction form
   78,692/169,949 = 169,949/x
3. Step 3: Cross multiply
   78,692x = 169,949 × 169,949
4. Step 4: Simplify right side
   78,692x = 28,882,662,601
5. Step 5: Solve for x
   x = 28,882,662,601/78,692
6. Step 6: Final answer
   x = 367,034.29