Finding the Third Proportional to 49,971 and 107,049

Step by Step Solution

1. Step 1: Write the proportion equation
   49,971 : 107,049 = 107,049 : x
2. Step 2: Convert to fraction form
   49,971/107,049 = 107,049/x
3. Step 3: Cross multiply
   49,971x = 107,049 × 107,049
4. Step 4: Simplify right side
   49,971x = 11,459,488,401
5. Step 5: Solve for x
   x = 11,459,488,401/49,971
6. Step 6: Final answer
   x = 229,322.78