Finding the Third Proportional to 80,338.50 and 174,504

Step by Step Solution

1. Step 1: Write the proportion equation
   80,338.50 : 174,504 = 174,504 : x
2. Step 2: Convert to fraction form
   80,338.50/174,504 = 174,504/x
3. Step 3: Cross multiply
   80,338.50x = 174,504 × 174,504
4. Step 4: Simplify right side
   80,338.50x = 30,451,646,016
5. Step 5: Solve for x
   x = 30,451,646,016/80,338.50
6. Step 6: Final answer
   x = 379,041.75