Finding the Third Proportional to 367,586 and 796,239.25

Step by Step Solution

1. Step 1: Write the proportion equation
   367,586 : 796,239.25 = 796,239.25 : x
2. Step 2: Convert to fraction form
   367,586/796,239.25 = 796,239.25/x
3. Step 3: Cross multiply
   367,586x = 796,239.25 × 796,239.25
4. Step 4: Simplify right side
   367,586x = 633,996,943,240.56
5. Step 5: Solve for x
   x = 633,996,943,240.56/367,586
6. Step 6: Final answer
   x = 1,724,758.13