Finding the Third Proportional to 111,784 and 240,214

Step by Step Solution

1. Step 1: Write the proportion equation
   111,784 : 240,214 = 240,214 : x
2. Step 2: Convert to fraction form
   111,784/240,214 = 240,214/x
3. Step 3: Cross multiply
   111,784x = 240,214 × 240,214
4. Step 4: Simplify right side
   111,784x = 57,702,765,796
5. Step 5: Solve for x
   x = 57,702,765,796/111,784
6. Step 6: Final answer
   x = 516,198.79