Finding the Third Proportional to 117,708 and 254,976

Step by Step Solution

1. Step 1: Write the proportion equation
   117,708 : 254,976 = 254,976 : x
2. Step 2: Convert to fraction form
   117,708/254,976 = 254,976/x
3. Step 3: Cross multiply
   117,708x = 254,976 × 254,976
4. Step 4: Simplify right side
   117,708x = 65,012,760,576
5. Step 5: Solve for x
   x = 65,012,760,576/117,708
6. Step 6: Final answer
   x = 552,322.36