Finding the Third Proportional to 123,291 and 181,048

Step by Step Solution

1. Step 1: Write the proportion equation
   123,291 : 181,048 = 181,048 : x
2. Step 2: Convert to fraction form
   123,291/181,048 = 181,048/x
3. Step 3: Cross multiply
   123,291x = 181,048 × 181,048
4. Step 4: Simplify right side
   123,291x = 32,778,378,304
5. Step 5: Solve for x
   x = 32,778,378,304/123,291
6. Step 6: Final answer
   x = 265,861.89