Finding the Third Proportional to 80,574 and 175,486

Step by Step Solution

1. Step 1: Write the proportion equation
   80,574 : 175,486 = 175,486 : x
2. Step 2: Convert to fraction form
   80,574/175,486 = 175,486/x
3. Step 3: Cross multiply
   80,574x = 175,486 × 175,486
4. Step 4: Simplify right side
   80,574x = 30,795,336,196
5. Step 5: Solve for x
   x = 30,795,336,196/80,574
6. Step 6: Final answer
   x = 382,199.42