Finding the Third Proportional to 366,976 and 567,164

Step by Step Solution

1. Step 1: Write the proportion equation
   366,976 : 567,164 = 567,164 : x
2. Step 2: Convert to fraction form
   366,976/567,164 = 567,164/x
3. Step 3: Cross multiply
   366,976x = 567,164 × 567,164
4. Step 4: Simplify right side
   366,976x = 321,675,002,896
5. Step 5: Solve for x
   x = 321,675,002,896/366,976
6. Step 6: Final answer
   x = 876,555.97