Finding the Third Proportional to 105,986 and 230,380

Step by Step Solution

1. Step 1: Write the proportion equation
   105,986 : 230,380 = 230,380 : x
2. Step 2: Convert to fraction form
   105,986/230,380 = 230,380/x
3. Step 3: Cross multiply
   105,986x = 230,380 × 230,380
4. Step 4: Simplify right side
   105,986x = 53,074,944,400
5. Step 5: Solve for x
   x = 53,074,944,400/105,986
6. Step 6: Final answer
   x = 500,773.16