Finding the Third Proportional to 111,644 and 240,780

Step by Step Solution

1. Step 1: Write the proportion equation
   111,644 : 240,780 = 240,780 : x
2. Step 2: Convert to fraction form
   111,644/240,780 = 240,780/x
3. Step 3: Cross multiply
   111,644x = 240,780 × 240,780
4. Step 4: Simplify right side
   111,644x = 57,975,008,400
5. Step 5: Solve for x
   x = 57,975,008,400/111,644
6. Step 6: Final answer
   x = 519,284.59