Finding the Third Proportional to 49,206 and 101,914

Step by Step Solution

1. Step 1: Write the proportion equation
   49,206 : 101,914 = 101,914 : x
2. Step 2: Convert to fraction form
   49,206/101,914 = 101,914/x
3. Step 3: Cross multiply
   49,206x = 101,914 × 101,914
4. Step 4: Simplify right side
   49,206x = 10,386,463,396
5. Step 5: Solve for x
   x = 10,386,463,396/49,206
6. Step 6: Final answer
   x = 211,081.24