Finding the Third Proportional to 123,627 and 264,749

Step by Step Solution

1. Step 1: Write the proportion equation
   123,627 : 264,749 = 264,749 : x
2. Step 2: Convert to fraction form
   123,627/264,749 = 264,749/x
3. Step 3: Cross multiply
   123,627x = 264,749 × 264,749
4. Step 4: Simplify right side
   123,627x = 70,092,033,001
5. Step 5: Solve for x
   x = 70,092,033,001/123,627
6. Step 6: Final answer
   x = 566,963.79