Finding the Third Proportional to 116,504 and 254,816

Step by Step Solution

1. Step 1: Write the proportion equation
   116,504 : 254,816 = 254,816 : x
2. Step 2: Convert to fraction form
   116,504/254,816 = 254,816/x
3. Step 3: Cross multiply
   116,504x = 254,816 × 254,816
4. Step 4: Simplify right side
   116,504x = 64,931,193,856
5. Step 5: Solve for x
   x = 64,931,193,856/116,504
6. Step 6: Final answer
   x = 557,330.17