Finding the Third Proportional to 111,780 and 240,205.50

Step by Step Solution

1. Step 1: Write the proportion equation
   111,780 : 240,205.50 = 240,205.50 : x
2. Step 2: Convert to fraction form
   111,780/240,205.50 = 240,205.50/x
3. Step 3: Cross multiply
   111,780x = 240,205.50 × 240,205.50
4. Step 4: Simplify right side
   111,780x = 57,698,682,230.25
5. Step 5: Solve for x
   x = 57,698,682,230.25/111,780
6. Step 6: Final answer
   x = 516,180.73