Finding the Third Proportional to 53,742 and 126,406

Step by Step Solution

1. Step 1: Write the proportion equation
   53,742 : 126,406 = 126,406 : x
2. Step 2: Convert to fraction form
   53,742/126,406 = 126,406/x
3. Step 3: Cross multiply
   53,742x = 126,406 × 126,406
4. Step 4: Simplify right side
   53,742x = 15,978,476,836
5. Step 5: Solve for x
   x = 15,978,476,836/53,742
6. Step 6: Final answer
   x = 297,318.24