Finding the Third Proportional to 81,794 and 175,410

Step by Step Solution

1. Step 1: Write the proportion equation
   81,794 : 175,410 = 175,410 : x
2. Step 2: Convert to fraction form
   81,794/175,410 = 175,410/x
3. Step 3: Cross multiply
   81,794x = 175,410 × 175,410
4. Step 4: Simplify right side
   81,794x = 30,768,668,100
5. Step 5: Solve for x
   x = 30,768,668,100/81,794
6. Step 6: Final answer
   x = 376,172.68