Finding the Third Proportional to 199,834 and 418,144

Step by Step Solution

1. Step 1: Write the proportion equation
   199,834 : 418,144 = 418,144 : x
2. Step 2: Convert to fraction form
   199,834/418,144 = 418,144/x
3. Step 3: Cross multiply
   199,834x = 418,144 × 418,144
4. Step 4: Simplify right side
   199,834x = 174,844,404,736
5. Step 5: Solve for x
   x = 174,844,404,736/199,834
6. Step 6: Final answer
   x = 874,948.23