Finding the Third Proportional to 775,728 and 1,200,456

Step by Step Solution

1. Step 1: Write the proportion equation
   775,728 : 1,200,456 = 1,200,456 : x
2. Step 2: Convert to fraction form
   775,728/1,200,456 = 1,200,456/x
3. Step 3: Cross multiply
   775,728x = 1,200,456 × 1,200,456
4. Step 4: Simplify right side
   775,728x = 1,441,094,607,936
5. Step 5: Solve for x
   x = 1,441,094,607,936/775,728
6. Step 6: Final answer
   x = 1,857,731.84