Finding the Third Proportional to 294,654 and 645,036

Step by Step Solution

1. Step 1: Write the proportion equation
   294,654 : 645,036 = 645,036 : x
2. Step 2: Convert to fraction form
   294,654/645,036 = 645,036/x
3. Step 3: Cross multiply
   294,654x = 645,036 × 645,036
4. Step 4: Simplify right side
   294,654x = 416,071,441,296
5. Step 5: Solve for x
   x = 416,071,441,296/294,654
6. Step 6: Final answer
   x = 1,412,067.85