Finding the Third Proportional to 199,644 and 428,496

Step by Step Solution

1. Step 1: Write the proportion equation
   199,644 : 428,496 = 428,496 : x
2. Step 2: Convert to fraction form
   199,644/428,496 = 428,496/x
3. Step 3: Cross multiply
   199,644x = 428,496 × 428,496
4. Step 4: Simplify right side
   199,644x = 183,608,822,016
5. Step 5: Solve for x
   x = 183,608,822,016/199,644
6. Step 6: Final answer
   x = 919,681.14