Finding the Third Proportional to 123,627 and 264,756

Step by Step Solution

1. Step 1: Write the proportion equation
   123,627 : 264,756 = 264,756 : x
2. Step 2: Convert to fraction form
   123,627/264,756 = 264,756/x
3. Step 3: Cross multiply
   123,627x = 264,756 × 264,756
4. Step 4: Simplify right side
   123,627x = 70,095,739,536
5. Step 5: Solve for x
   x = 70,095,739,536/123,627
6. Step 6: Final answer
   x = 566,993.78