Finding the Third Proportional to 53,414 and 114,676

Step by Step Solution

1. Step 1: Write the proportion equation
   53,414 : 114,676 = 114,676 : x
2. Step 2: Convert to fraction form
   53,414/114,676 = 114,676/x
3. Step 3: Cross multiply
   53,414x = 114,676 × 114,676
4. Step 4: Simplify right side
   53,414x = 13,150,584,976
5. Step 5: Solve for x
   x = 13,150,584,976/53,414
6. Step 6: Final answer
   x = 246,201.09