Finding the Third Proportional to 49,546 and 103,268

Step by Step Solution

1. Step 1: Write the proportion equation
   49,546 : 103,268 = 103,268 : x
2. Step 2: Convert to fraction form
   49,546/103,268 = 103,268/x
3. Step 3: Cross multiply
   49,546x = 103,268 × 103,268
4. Step 4: Simplify right side
   49,546x = 10,664,279,824
5. Step 5: Solve for x
   x = 10,664,279,824/49,546
6. Step 6: Final answer
   x = 215,239.98