Finding the Third Proportional to 281,456 and 597,456

Step by Step Solution

1. Step 1: Write the proportion equation
   281,456 : 597,456 = 597,456 : x
2. Step 2: Convert to fraction form
   281,456/597,456 = 597,456/x
3. Step 3: Cross multiply
   281,456x = 597,456 × 597,456
4. Step 4: Simplify right side
   281,456x = 356,953,671,936
5. Step 5: Solve for x
   x = 356,953,671,936/281,456
6. Step 6: Final answer
   x = 1,268,239.70