Finding the Third Proportional to 49,436 and 116,648

Step by Step Solution

1. Step 1: Write the proportion equation
   49,436 : 116,648 = 116,648 : x
2. Step 2: Convert to fraction form
   49,436/116,648 = 116,648/x
3. Step 3: Cross multiply
   49,436x = 116,648 × 116,648
4. Step 4: Simplify right side
   49,436x = 13,606,755,904
5. Step 5: Solve for x
   x = 13,606,755,904/49,436
6. Step 6: Final answer
   x = 275,239.82