Finding the Third Proportional to 123,678 and 264,846

Step by Step Solution

1. Step 1: Write the proportion equation
   123,678 : 264,846 = 264,846 : x
2. Step 2: Convert to fraction form
   123,678/264,846 = 264,846/x
3. Step 3: Cross multiply
   123,678x = 264,846 × 264,846
4. Step 4: Simplify right side
   123,678x = 70,143,403,716
5. Step 5: Solve for x
   x = 70,143,403,716/123,678
6. Step 6: Final answer
   x = 567,145.36