Finding the Third Proportional to 123,443 and 186,896

Step by Step Solution

1. Step 1: Write the proportion equation
   123,443 : 186,896 = 186,896 : x
2. Step 2: Convert to fraction form
   123,443/186,896 = 186,896/x
3. Step 3: Cross multiply
   123,443x = 186,896 × 186,896
4. Step 4: Simplify right side
   123,443x = 34,930,114,816
5. Step 5: Solve for x
   x = 34,930,114,816/123,443
6. Step 6: Final answer
   x = 282,965.54