Finding the Third Proportional to 80,208 and 174,077

Step by Step Solution

1. Step 1: Write the proportion equation
   80,208 : 174,077 = 174,077 : x
2. Step 2: Convert to fraction form
   80,208/174,077 = 174,077/x
3. Step 3: Cross multiply
   80,208x = 174,077 × 174,077
4. Step 4: Simplify right side
   80,208x = 30,302,801,929
5. Step 5: Solve for x
   x = 30,302,801,929/80,208
6. Step 6: Final answer
   x = 377,802.74