Finding the Third Proportional to 78,287 and 174,504

Step by Step Solution

1. Step 1: Write the proportion equation
   78,287 : 174,504 = 174,504 : x
2. Step 2: Convert to fraction form
   78,287/174,504 = 174,504/x
3. Step 3: Cross multiply
   78,287x = 174,504 × 174,504
4. Step 4: Simplify right side
   78,287x = 30,451,646,016
5. Step 5: Solve for x
   x = 30,451,646,016/78,287
6. Step 6: Final answer
   x = 388,974.49