Finding the Third Proportional to 123,613 and 269,257

Step by Step Solution

1. Step 1: Write the proportion equation
   123,613 : 269,257 = 269,257 : x
2. Step 2: Convert to fraction form
   123,613/269,257 = 269,257/x
3. Step 3: Cross multiply
   123,613x = 269,257 × 269,257
4. Step 4: Simplify right side
   123,613x = 72,499,332,049
5. Step 5: Solve for x
   x = 72,499,332,049/123,613
6. Step 6: Final answer
   x = 586,502.49