Finding the Third Proportional to 123,878 and 182,901

Step by Step Solution

1. Step 1: Write the proportion equation
   123,878 : 182,901 = 182,901 : x
2. Step 2: Convert to fraction form
   123,878/182,901 = 182,901/x
3. Step 3: Cross multiply
   123,878x = 182,901 × 182,901
4. Step 4: Simplify right side
   123,878x = 33,452,775,801
5. Step 5: Solve for x
   x = 33,452,775,801/123,878
6. Step 6: Final answer
   x = 270,046.14