Finding the Third Proportional to 49,656 and 113,447

Step by Step Solution

1. Step 1: Write the proportion equation
   49,656 : 113,447 = 113,447 : x
2. Step 2: Convert to fraction form
   49,656/113,447 = 113,447/x
3. Step 3: Cross multiply
   49,656x = 113,447 × 113,447
4. Step 4: Simplify right side
   49,656x = 12,870,221,809
5. Step 5: Solve for x
   x = 12,870,221,809/49,656
6. Step 6: Final answer
   x = 259,187.65