Finding the Third Proportional to 53,982 and 126,078

Step by Step Solution

1. Step 1: Write the proportion equation
   53,982 : 126,078 = 126,078 : x
2. Step 2: Convert to fraction form
   53,982/126,078 = 126,078/x
3. Step 3: Cross multiply
   53,982x = 126,078 × 126,078
4. Step 4: Simplify right side
   53,982x = 15,895,662,084
5. Step 5: Solve for x
   x = 15,895,662,084/53,982
6. Step 6: Final answer
   x = 294,462.27