Finding the Third Proportional to 80,586 and 175,410

Step by Step Solution

1. Step 1: Write the proportion equation
   80,586 : 175,410 = 175,410 : x
2. Step 2: Convert to fraction form
   80,586/175,410 = 175,410/x
3. Step 3: Cross multiply
   80,586x = 175,410 × 175,410
4. Step 4: Simplify right side
   80,586x = 30,768,668,100
5. Step 5: Solve for x
   x = 30,768,668,100/80,586
6. Step 6: Final answer
   x = 381,811.58