Finding the Third Proportional to 123,702 and 269,484

Step by Step Solution

1. Step 1: Write the proportion equation
   123,702 : 269,484 = 269,484 : x
2. Step 2: Convert to fraction form
   123,702/269,484 = 269,484/x
3. Step 3: Cross multiply
   123,702x = 269,484 × 269,484
4. Step 4: Simplify right side
   123,702x = 72,621,626,256
5. Step 5: Solve for x
   x = 72,621,626,256/123,702
6. Step 6: Final answer
   x = 587,069.14