Finding the Third Proportional to 123,628 and 264,751

Step by Step Solution

1. Step 1: Write the proportion equation
   123,628 : 264,751 = 264,751 : x
2. Step 2: Convert to fraction form
   123,628/264,751 = 264,751/x
3. Step 3: Cross multiply
   123,628x = 264,751 × 264,751
4. Step 4: Simplify right side
   123,628x = 70,093,092,001
5. Step 5: Solve for x
   x = 70,093,092,001/123,628
6. Step 6: Final answer
   x = 566,967.77