Finding the Third Proportional to 49,201 and 101,902

Step by Step Solution

1. Step 1: Write the proportion equation
   49,201 : 101,902 = 101,902 : x
2. Step 2: Convert to fraction form
   49,201/101,902 = 101,902/x
3. Step 3: Cross multiply
   49,201x = 101,902 × 101,902
4. Step 4: Simplify right side
   49,201x = 10,384,017,604
5. Step 5: Solve for x
   x = 10,384,017,604/49,201
6. Step 6: Final answer
   x = 211,052.98