Finding the Third Proportional to 116,403 and 254,676

Step by Step Solution

1. Step 1: Write the proportion equation
   116,403 : 254,676 = 254,676 : x
2. Step 2: Convert to fraction form
   116,403/254,676 = 254,676/x
3. Step 3: Cross multiply
   116,403x = 254,676 × 254,676
4. Step 4: Simplify right side
   116,403x = 64,859,864,976
5. Step 5: Solve for x
   x = 64,859,864,976/116,403
6. Step 6: Final answer
   x = 557,200.97