Finding the Third Proportional to 103,686 and 242,799

Step by Step Solution

1. Step 1: Write the proportion equation
   103,686 : 242,799 = 242,799 : x
2. Step 2: Convert to fraction form
   103,686/242,799 = 242,799/x
3. Step 3: Cross multiply
   103,686x = 242,799 × 242,799
4. Step 4: Simplify right side
   103,686x = 58,951,354,401
5. Step 5: Solve for x
   x = 58,951,354,401/103,686
6. Step 6: Final answer
   x = 568,556.55