Finding the Third Proportional to 123,879 and 182,902

Step by Step Solution

1. Step 1: Write the proportion equation
   123,879 : 182,902 = 182,902 : x
2. Step 2: Convert to fraction form
   123,879/182,902 = 182,902/x
3. Step 3: Cross multiply
   123,879x = 182,902 × 182,902
4. Step 4: Simplify right side
   123,879x = 33,453,141,604
5. Step 5: Solve for x
   x = 33,453,141,604/123,879
6. Step 6: Final answer
   x = 270,046.91