Finding the Third Proportional to 54,286 and 114,404

Step by Step Solution

1. Step 1: Write the proportion equation
   54,286 : 114,404 = 114,404 : x
2. Step 2: Convert to fraction form
   54,286/114,404 = 114,404/x
3. Step 3: Cross multiply
   54,286x = 114,404 × 114,404
4. Step 4: Simplify right side
   54,286x = 13,088,275,216
5. Step 5: Solve for x
   x = 13,088,275,216/54,286
6. Step 6: Final answer
   x = 241,098.54