Finding the Third Proportional to 257,774 and 565,978

Step by Step Solution

1. Step 1: Write the proportion equation
   257,774 : 565,978 = 565,978 : x
2. Step 2: Convert to fraction form
   257,774/565,978 = 565,978/x
3. Step 3: Cross multiply
   257,774x = 565,978 × 565,978
4. Step 4: Simplify right side
   257,774x = 320,331,096,484
5. Step 5: Solve for x
   x = 320,331,096,484/257,774
6. Step 6: Final answer
   x = 1,242,681.95