Finding the Third Proportional to 123,576 and 264,648

Step by Step Solution

1. Step 1: Write the proportion equation
   123,576 : 264,648 = 264,648 : x
2. Step 2: Convert to fraction form
   123,576/264,648 = 264,648/x
3. Step 3: Cross multiply
   123,576x = 264,648 × 264,648
4. Step 4: Simplify right side
   123,576x = 70,038,563,904
5. Step 5: Solve for x
   x = 70,038,563,904/123,576
6. Step 6: Final answer
   x = 566,765.10