Finding the Third Proportional to 49,824 and 105,722

Step by Step Solution

1. Step 1: Write the proportion equation
   49,824 : 105,722 = 105,722 : x
2. Step 2: Convert to fraction form
   49,824/105,722 = 105,722/x
3. Step 3: Cross multiply
   49,824x = 105,722 × 105,722
4. Step 4: Simplify right side
   49,824x = 11,177,141,284
5. Step 5: Solve for x
   x = 11,177,141,284/49,824
6. Step 6: Final answer
   x = 224,332.48