Finding the Third Proportional to 416,824 and 645,036

Step by Step Solution

1. Step 1: Write the proportion equation
   416,824 : 645,036 = 645,036 : x
2. Step 2: Convert to fraction form
   416,824/645,036 = 645,036/x
3. Step 3: Cross multiply
   416,824x = 645,036 × 645,036
4. Step 4: Simplify right side
   416,824x = 416,071,441,296
5. Step 5: Solve for x
   x = 416,071,441,296/416,824
6. Step 6: Final answer
   x = 998,194.54