Finding the Third Proportional to 261,198.50 and 565,870.50

Step by Step Solution

1. Step 1: Write the proportion equation
   261,198.50 : 565,870.50 = 565,870.50 : x
2. Step 2: Convert to fraction form
   261,198.50/565,870.50 = 565,870.50/x
3. Step 3: Cross multiply
   261,198.50x = 565,870.50 × 565,870.50
4. Step 4: Simplify right side
   261,198.50x = 320,209,422,770.25
5. Step 5: Solve for x
   x = 320,209,422,770.25/261,198.50
6. Step 6: Final answer
   x = 1,225,923.67