Finding the Third Proportional to 123,020 and 269,018

Step by Step Solution

1. Step 1: Write the proportion equation
   123,020 : 269,018 = 269,018 : x
2. Step 2: Convert to fraction form
   123,020/269,018 = 269,018/x
3. Step 3: Cross multiply
   123,020x = 269,018 × 269,018
4. Step 4: Simplify right side
   123,020x = 72,370,684,324
5. Step 5: Solve for x
   x = 72,370,684,324/123,020
6. Step 6: Final answer
   x = 588,283.89