Finding the Third Proportional to 116,256 and 254,310

Step by Step Solution

1. Step 1: Write the proportion equation
   116,256 : 254,310 = 254,310 : x
2. Step 2: Convert to fraction form
   116,256/254,310 = 254,310/x
3. Step 3: Cross multiply
   116,256x = 254,310 × 254,310
4. Step 4: Simplify right side
   116,256x = 64,673,576,100
5. Step 5: Solve for x
   x = 64,673,576,100/116,256
6. Step 6: Final answer
   x = 556,303.13