Finding the Third Proportional to 192,456 and 463,644

Step by Step Solution

1. Step 1: Write the proportion equation
   192,456 : 463,644 = 463,644 : x
2. Step 2: Convert to fraction form
   192,456/463,644 = 463,644/x
3. Step 3: Cross multiply
   192,456x = 463,644 × 463,644
4. Step 4: Simplify right side
   192,456x = 214,965,758,736
5. Step 5: Solve for x
   x = 214,965,758,736/192,456
6. Step 6: Final answer
   x = 1,116,960.55