Finding the Third Proportional to 80,839 and 175,669

Step by Step Solution

1. Step 1: Write the proportion equation
   80,839 : 175,669 = 175,669 : x
2. Step 2: Convert to fraction form
   80,839/175,669 = 175,669/x
3. Step 3: Cross multiply
   80,839x = 175,669 × 175,669
4. Step 4: Simplify right side
   80,839x = 30,859,597,561
5. Step 5: Solve for x
   x = 30,859,597,561/80,839
6. Step 6: Final answer
   x = 381,741.46