Finding the Third Proportional to 53,723 and 117,004

Step by Step Solution

1. Step 1: Write the proportion equation
   53,723 : 117,004 = 117,004 : x
2. Step 2: Convert to fraction form
   53,723/117,004 = 117,004/x
3. Step 3: Cross multiply
   53,723x = 117,004 × 117,004
4. Step 4: Simplify right side
   53,723x = 13,689,936,016
5. Step 5: Solve for x
   x = 13,689,936,016/53,723
6. Step 6: Final answer
   x = 254,824.49