Finding the Third Proportional to 80,796 and 174,498

Step by Step Solution

1. Step 1: Write the proportion equation
   80,796 : 174,498 = 174,498 : x
2. Step 2: Convert to fraction form
   80,796/174,498 = 174,498/x
3. Step 3: Cross multiply
   80,796x = 174,498 × 174,498
4. Step 4: Simplify right side
   80,796x = 30,449,552,004
5. Step 5: Solve for x
   x = 30,449,552,004/80,796
6. Step 6: Final answer
   x = 376,869.55