Finding the Third Proportional to 123,626 and 264,747

Step by Step Solution

1. Step 1: Write the proportion equation
   123,626 : 264,747 = 264,747 : x
2. Step 2: Convert to fraction form
   123,626/264,747 = 264,747/x
3. Step 3: Cross multiply
   123,626x = 264,747 × 264,747
4. Step 4: Simplify right side
   123,626x = 70,090,974,009
5. Step 5: Solve for x
   x = 70,090,974,009/123,626
6. Step 6: Final answer
   x = 566,959.81