Finding the Third Proportional to 456,456 and 605,808

Step by Step Solution

1. Step 1: Write the proportion equation
   456,456 : 605,808 = 605,808 : x
2. Step 2: Convert to fraction form
   456,456/605,808 = 605,808/x
3. Step 3: Cross multiply
   456,456x = 605,808 × 605,808
4. Step 4: Simplify right side
   456,456x = 367,003,332,864
5. Step 5: Solve for x
   x = 367,003,332,864/456,456
6. Step 6: Final answer
   x = 804,027.84