Finding the Third Proportional to 123,726 and 264,945

Step by Step Solution

1. Step 1: Write the proportion equation
   123,726 : 264,945 = 264,945 : x
2. Step 2: Convert to fraction form
   123,726/264,945 = 264,945/x
3. Step 3: Cross multiply
   123,726x = 264,945 × 264,945
4. Step 4: Simplify right side
   123,726x = 70,195,853,025
5. Step 5: Solve for x
   x = 70,195,853,025/123,726
6. Step 6: Final answer
   x = 567,349.25