Finding the Third Proportional to 435,978 and 591,759

Step by Step Solution

1. Step 1: Write the proportion equation
   435,978 : 591,759 = 591,759 : x
2. Step 2: Convert to fraction form
   435,978/591,759 = 591,759/x
3. Step 3: Cross multiply
   435,978x = 591,759 × 591,759
4. Step 4: Simplify right side
   435,978x = 350,178,714,081
5. Step 5: Solve for x
   x = 350,178,714,081/435,978
6. Step 6: Final answer
   x = 803,202.72