Finding the Third Proportional to 375,287 and 765,856

Step by Step Solution

1. Step 1: Write the proportion equation
   375,287 : 765,856 = 765,856 : x
2. Step 2: Convert to fraction form
   375,287/765,856 = 765,856/x
3. Step 3: Cross multiply
   375,287x = 765,856 × 765,856
4. Step 4: Simplify right side
   375,287x = 586,535,412,736
5. Step 5: Solve for x
   x = 586,535,412,736/375,287
6. Step 6: Final answer
   x = 1,562,898.30