Finding the Third Proportional to 49,275 and 102,049

Step by Step Solution

1. Step 1: Write the proportion equation
   49,275 : 102,049 = 102,049 : x
2. Step 2: Convert to fraction form
   49,275/102,049 = 102,049/x
3. Step 3: Cross multiply
   49,275x = 102,049 × 102,049
4. Step 4: Simplify right side
   49,275x = 10,413,998,401
5. Step 5: Solve for x
   x = 10,413,998,401/49,275
6. Step 6: Final answer
   x = 211,344.46