Finding the Third Proportional to 123,012 and 269,028

Step by Step Solution

1. Step 1: Write the proportion equation
   123,012 : 269,028 = 269,028 : x
2. Step 2: Convert to fraction form
   123,012/269,028 = 269,028/x
3. Step 3: Cross multiply
   123,012x = 269,028 × 269,028
4. Step 4: Simplify right side
   123,012x = 72,376,064,784
5. Step 5: Solve for x
   x = 72,376,064,784/123,012
6. Step 6: Final answer
   x = 588,365.89