Finding the Third Proportional to 116,514 and 254,196

Step by Step Solution

1. Step 1: Write the proportion equation
   116,514 : 254,196 = 254,196 : x
2. Step 2: Convert to fraction form
   116,514/254,196 = 254,196/x
3. Step 3: Cross multiply
   116,514x = 254,196 × 254,196
4. Step 4: Simplify right side
   116,514x = 64,615,606,416
5. Step 5: Solve for x
   x = 64,615,606,416/116,514
6. Step 6: Final answer
   x = 554,573.75