Finding the Third Proportional to 123,613.50 and 269,259

Step by Step Solution

1. Step 1: Write the proportion equation
   123,613.50 : 269,259 = 269,259 : x
2. Step 2: Convert to fraction form
   123,613.50/269,259 = 269,259/x
3. Step 3: Cross multiply
   123,613.50x = 269,259 × 269,259
4. Step 4: Simplify right side
   123,613.50x = 72,500,409,081
5. Step 5: Solve for x
   x = 72,500,409,081/123,613.50
6. Step 6: Final answer
   x = 586,508.83