Finding the Third Proportional to 49,204 and 101,910

Step by Step Solution

1. Step 1: Write the proportion equation
   49,204 : 101,910 = 101,910 : x
2. Step 2: Convert to fraction form
   49,204/101,910 = 101,910/x
3. Step 3: Cross multiply
   49,204x = 101,910 × 101,910
4. Step 4: Simplify right side
   49,204x = 10,385,648,100
5. Step 5: Solve for x
   x = 10,385,648,100/49,204
6. Step 6: Final answer
   x = 211,073.25