Finding the Third Proportional to 53,471 and 116,049

Step by Step Solution

1. Step 1: Write the proportion equation
   53,471 : 116,049 = 116,049 : x
2. Step 2: Convert to fraction form
   53,471/116,049 = 116,049/x
3. Step 3: Cross multiply
   53,471x = 116,049 × 116,049
4. Step 4: Simplify right side
   53,471x = 13,467,370,401
5. Step 5: Solve for x
   x = 13,467,370,401/53,471
6. Step 6: Final answer
   x = 251,863.07