Finding the Third Proportional to 49,824 and 104,264

Step by Step Solution

1. Step 1: Write the proportion equation
   49,824 : 104,264 = 104,264 : x
2. Step 2: Convert to fraction form
   49,824/104,264 = 104,264/x
3. Step 3: Cross multiply
   49,824x = 104,264 × 104,264
4. Step 4: Simplify right side
   49,824x = 10,870,981,696
5. Step 5: Solve for x
   x = 10,870,981,696/49,824
6. Step 6: Final answer
   x = 218,187.65