Finding the Third Proportional to 425,256 and 685,192

Step by Step Solution

1. Step 1: Write the proportion equation
   425,256 : 685,192 = 685,192 : x
2. Step 2: Convert to fraction form
   425,256/685,192 = 685,192/x
3. Step 3: Cross multiply
   425,256x = 685,192 × 685,192
4. Step 4: Simplify right side
   425,256x = 469,488,076,864
5. Step 5: Solve for x
   x = 469,488,076,864/425,256
6. Step 6: Final answer
   x = 1,104,012.82