Finding the Third Proportional to 123,012 and 269,574

Step by Step Solution

1. Step 1: Write the proportion equation
   123,012 : 269,574 = 269,574 : x
2. Step 2: Convert to fraction form
   123,012/269,574 = 269,574/x
3. Step 3: Cross multiply
   123,012x = 269,574 × 269,574
4. Step 4: Simplify right side
   123,012x = 72,670,141,476
5. Step 5: Solve for x
   x = 72,670,141,476/123,012
6. Step 6: Final answer
   x = 590,756.52