Finding the Third Proportional to 105,654 and 213,036

Step by Step Solution

1. Step 1: Write the proportion equation
   105,654 : 213,036 = 213,036 : x
2. Step 2: Convert to fraction form
   105,654/213,036 = 213,036/x
3. Step 3: Cross multiply
   105,654x = 213,036 × 213,036
4. Step 4: Simplify right side
   105,654x = 45,384,337,296
5. Step 5: Solve for x
   x = 45,384,337,296/105,654
6. Step 6: Final answer
   x = 429,556.26