Finding the Third Proportional to 456,378 and 709,456

Step by Step Solution

1. Step 1: Write the proportion equation
   456,378 : 709,456 = 709,456 : x
2. Step 2: Convert to fraction form
   456,378/709,456 = 709,456/x
3. Step 3: Cross multiply
   456,378x = 709,456 × 709,456
4. Step 4: Simplify right side
   456,378x = 503,327,815,936
5. Step 5: Solve for x
   x = 503,327,815,936/456,378
6. Step 6: Final answer
   x = 1,102,874.84