Finding the Third Proportional to 80,842 and 174,590

Step by Step Solution

1. Step 1: Write the proportion equation
   80,842 : 174,590 = 174,590 : x
2. Step 2: Convert to fraction form
   80,842/174,590 = 174,590/x
3. Step 3: Cross multiply
   80,842x = 174,590 × 174,590
4. Step 4: Simplify right side
   80,842x = 30,481,668,100
5. Step 5: Solve for x
   x = 30,481,668,100/80,842
6. Step 6: Final answer
   x = 377,052.38