Finding the Third Proportional to 258,952 and 564,978

Step by Step Solution

1. Step 1: Write the proportion equation
   258,952 : 564,978 = 564,978 : x
2. Step 2: Convert to fraction form
   258,952/564,978 = 564,978/x
3. Step 3: Cross multiply
   258,952x = 564,978 × 564,978
4. Step 4: Simplify right side
   258,952x = 319,200,140,484
5. Step 5: Solve for x
   x = 319,200,140,484/258,952
6. Step 6: Final answer
   x = 1,232,661.42