Finding the Third Proportional to 49,202 and 101,905

Step by Step Solution

1. Step 1: Write the proportion equation
   49,202 : 101,905 = 101,905 : x
2. Step 2: Convert to fraction form
   49,202/101,905 = 101,905/x
3. Step 3: Cross multiply
   49,202x = 101,905 × 101,905
4. Step 4: Simplify right side
   49,202x = 10,384,629,025
5. Step 5: Solve for x
   x = 10,384,629,025/49,202
6. Step 6: Final answer
   x = 211,061.12