Finding the Third Proportional to 81,768 and 123,057

Step by Step Solution

1. Step 1: Write the proportion equation
   81,768 : 123,057 = 123,057 : x
2. Step 2: Convert to fraction form
   81,768/123,057 = 123,057/x
3. Step 3: Cross multiply
   81,768x = 123,057 × 123,057
4. Step 4: Simplify right side
   81,768x = 15,143,025,249
5. Step 5: Solve for x
   x = 15,143,025,249/81,768
6. Step 6: Final answer
   x = 185,195.01