Finding the Third Proportional to 366,978 and 567,166

Step by Step Solution

1. Step 1: Write the proportion equation
   366,978 : 567,166 = 567,166 : x
2. Step 2: Convert to fraction form
   366,978/567,166 = 567,166/x
3. Step 3: Cross multiply
   366,978x = 567,166 × 567,166
4. Step 4: Simplify right side
   366,978x = 321,677,271,556
5. Step 5: Solve for x
   x = 321,677,271,556/366,978
6. Step 6: Final answer
   x = 876,557.37