Finding the Third Proportional to 358,144 and 765,456

Step by Step Solution

1. Step 1: Write the proportion equation
   358,144 : 765,456 = 765,456 : x
2. Step 2: Convert to fraction form
   358,144/765,456 = 765,456/x
3. Step 3: Cross multiply
   358,144x = 765,456 × 765,456
4. Step 4: Simplify right side
   358,144x = 585,922,887,936
5. Step 5: Solve for x
   x = 585,922,887,936/358,144
6. Step 6: Final answer
   x = 1,635,998.06