Finding the Third Proportional to 255,978 and 558,610.50

Step by Step Solution

1. Step 1: Write the proportion equation
   255,978 : 558,610.50 = 558,610.50 : x
2. Step 2: Convert to fraction form
   255,978/558,610.50 = 558,610.50/x
3. Step 3: Cross multiply
   255,978x = 558,610.50 × 558,610.50
4. Step 4: Simplify right side
   255,978x = 312,045,690,710.25
5. Step 5: Solve for x
   x = 312,045,690,710.25/255,978
6. Step 6: Final answer
   x = 1,219,033.24