Finding the Third Proportional to 81,978 and 123,544

Step by Step Solution

1. Step 1: Write the proportion equation
   81,978 : 123,544 = 123,544 : x
2. Step 2: Convert to fraction form
   81,978/123,544 = 123,544/x
3. Step 3: Cross multiply
   81,978x = 123,544 × 123,544
4. Step 4: Simplify right side
   81,978x = 15,263,119,936
5. Step 5: Solve for x
   x = 15,263,119,936/81,978
6. Step 6: Final answer
   x = 186,185.56