Finding the Third Proportional to 49,642 and 100,724

Step by Step Solution

1. Step 1: Write the proportion equation
   49,642 : 100,724 = 100,724 : x
2. Step 2: Convert to fraction form
   49,642/100,724 = 100,724/x
3. Step 3: Cross multiply
   49,642x = 100,724 × 100,724
4. Step 4: Simplify right side
   49,642x = 10,145,324,176
5. Step 5: Solve for x
   x = 10,145,324,176/49,642
6. Step 6: Final answer
   x = 204,369.77