Finding the Third Proportional to 435,969 and 591,745.50

Step by Step Solution

1. Step 1: Write the proportion equation
   435,969 : 591,745.50 = 591,745.50 : x
2. Step 2: Convert to fraction form
   435,969/591,745.50 = 591,745.50/x
3. Step 3: Cross multiply
   435,969x = 591,745.50 × 591,745.50
4. Step 4: Simplify right side
   435,969x = 350,162,736,770.25
5. Step 5: Solve for x
   x = 350,162,736,770.25/435,969
6. Step 6: Final answer
   x = 803,182.65