Finding the Third Proportional to 123,282 and 269,169.75

Step by Step Solution

1. Step 1: Write the proportion equation
   123,282 : 269,169.75 = 269,169.75 : x
2. Step 2: Convert to fraction form
   123,282/269,169.75 = 269,169.75/x
3. Step 3: Cross multiply
   123,282x = 269,169.75 × 269,169.75
4. Step 4: Simplify right side
   123,282x = 72,452,354,315.06
5. Step 5: Solve for x
   x = 72,452,354,315.06/123,282
6. Step 6: Final answer
   x = 587,696.13