Finding the Third Proportional to 53,304 and 116,004

Step by Step Solution

1. Step 1: Write the proportion equation
   53,304 : 116,004 = 116,004 : x
2. Step 2: Convert to fraction form
   53,304/116,004 = 116,004/x
3. Step 3: Cross multiply
   53,304x = 116,004 × 116,004
4. Step 4: Simplify right side
   53,304x = 13,456,928,016
5. Step 5: Solve for x
   x = 13,456,928,016/53,304
6. Step 6: Final answer
   x = 252,456.25