Finding the Third Proportional to 80,826 and 175,476

Step by Step Solution

1. Step 1: Write the proportion equation
   80,826 : 175,476 = 175,476 : x
2. Step 2: Convert to fraction form
   80,826/175,476 = 175,476/x
3. Step 3: Cross multiply
   80,826x = 175,476 × 175,476
4. Step 4: Simplify right side
   80,826x = 30,791,826,576
5. Step 5: Solve for x
   x = 30,791,826,576/80,826
6. Step 6: Final answer
   x = 380,964.38