Finding the Third Proportional to 49,202.50 and 101,906

Step by Step Solution

1. Step 1: Write the proportion equation
   49,202.50 : 101,906 = 101,906 : x
2. Step 2: Convert to fraction form
   49,202.50/101,906 = 101,906/x
3. Step 3: Cross multiply
   49,202.50x = 101,906 × 101,906
4. Step 4: Simplify right side
   49,202.50x = 10,384,832,836
5. Step 5: Solve for x
   x = 10,384,832,836/49,202.50
6. Step 6: Final answer
   x = 211,063.11