Finding the Third Proportional to 263,538 and 574,780.50

Step by Step Solution

1. Step 1: Write the proportion equation
   263,538 : 574,780.50 = 574,780.50 : x
2. Step 2: Convert to fraction form
   263,538/574,780.50 = 574,780.50/x
3. Step 3: Cross multiply
   263,538x = 574,780.50 × 574,780.50
4. Step 4: Simplify right side
   263,538x = 330,372,623,180.25
5. Step 5: Solve for x
   x = 330,372,623,180.25/263,538
6. Step 6: Final answer
   x = 1,253,605.26