Finding the Third Proportional to 456,796 and 685,182

Step by Step Solution

1. Step 1: Write the proportion equation
   456,796 : 685,182 = 685,182 : x
2. Step 2: Convert to fraction form
   456,796/685,182 = 685,182/x
3. Step 3: Cross multiply
   456,796x = 685,182 × 685,182
4. Step 4: Simplify right side
   456,796x = 469,474,373,124
5. Step 5: Solve for x
   x = 469,474,373,124/456,796
6. Step 6: Final answer
   x = 1,027,755.00