Finding the Third Proportional to 435,942 and 654,345

Step by Step Solution

1. Step 1: Write the proportion equation
   435,942 : 654,345 = 654,345 : x
2. Step 2: Convert to fraction form
   435,942/654,345 = 654,345/x
3. Step 3: Cross multiply
   435,942x = 654,345 × 654,345
4. Step 4: Simplify right side
   435,942x = 428,167,379,025
5. Step 5: Solve for x
   x = 428,167,379,025/435,942
6. Step 6: Final answer
   x = 982,165.93