Finding the Third Proportional to 123,120 and 269,676

Step by Step Solution

1. Step 1: Write the proportion equation
   123,120 : 269,676 = 269,676 : x
2. Step 2: Convert to fraction form
   123,120/269,676 = 269,676/x
3. Step 3: Cross multiply
   123,120x = 269,676 × 269,676
4. Step 4: Simplify right side
   123,120x = 72,725,144,976
5. Step 5: Solve for x
   x = 72,725,144,976/123,120
6. Step 6: Final answer
   x = 590,685.06