Finding the Third Proportional to 116,424 and 254,016

Step by Step Solution

1. Step 1: Write the proportion equation
   116,424 : 254,016 = 254,016 : x
2. Step 2: Convert to fraction form
   116,424/254,016 = 254,016/x
3. Step 3: Cross multiply
   116,424x = 254,016 × 254,016
4. Step 4: Simplify right side
   116,424x = 64,524,128,256
5. Step 5: Solve for x
   x = 64,524,128,256/116,424
6. Step 6: Final answer
   x = 554,216.73