Finding the Third Proportional to 365,238 and 796,914

Step by Step Solution

1. Step 1: Write the proportion equation
   365,238 : 796,914 = 796,914 : x
2. Step 2: Convert to fraction form
   365,238/796,914 = 796,914/x
3. Step 3: Cross multiply
   365,238x = 796,914 × 796,914
4. Step 4: Simplify right side
   365,238x = 635,071,923,396
5. Step 5: Solve for x
   x = 635,071,923,396/365,238
6. Step 6: Final answer
   x = 1,738,789.29