Finding the Third Proportional to 53,734 and 114,860

Step by Step Solution

1. Step 1: Write the proportion equation
   53,734 : 114,860 = 114,860 : x
2. Step 2: Convert to fraction form
   53,734/114,860 = 114,860/x
3. Step 3: Cross multiply
   53,734x = 114,860 × 114,860
4. Step 4: Simplify right side
   53,734x = 13,192,819,600
5. Step 5: Solve for x
   x = 13,192,819,600/53,734
6. Step 6: Final answer
   x = 245,520.89