Finding the Third Proportional to 105,406 and 248,816

Step by Step Solution

1. Step 1: Write the proportion equation
   105,406 : 248,816 = 248,816 : x
2. Step 2: Convert to fraction form
   105,406/248,816 = 248,816/x
3. Step 3: Cross multiply
   105,406x = 248,816 × 248,816
4. Step 4: Simplify right side
   105,406x = 61,909,401,856
5. Step 5: Solve for x
   x = 61,909,401,856/105,406
6. Step 6: Final answer
   x = 587,342.29