Finding the Third Proportional to 80,504 and 174,837

Step by Step Solution

1. Step 1: Write the proportion equation
   80,504 : 174,837 = 174,837 : x
2. Step 2: Convert to fraction form
   80,504/174,837 = 174,837/x
3. Step 3: Cross multiply
   80,504x = 174,837 × 174,837
4. Step 4: Simplify right side
   80,504x = 30,567,976,569
5. Step 5: Solve for x
   x = 30,567,976,569/80,504
6. Step 6: Final answer
   x = 379,707.55