Finding the Third Proportional to 55,694 and 123,811

Step by Step Solution

1. Step 1: Write the proportion equation
   55,694 : 123,811 = 123,811 : x
2. Step 2: Convert to fraction form
   55,694/123,811 = 123,811/x
3. Step 3: Cross multiply
   55,694x = 123,811 × 123,811
4. Step 4: Simplify right side
   55,694x = 15,329,163,721
5. Step 5: Solve for x
   x = 15,329,163,721/55,694
6. Step 6: Final answer
   x = 275,239.05