Finding the Third Proportional to 190,544 and 418,456

Step by Step Solution

1. Step 1: Write the proportion equation
   190,544 : 418,456 = 418,456 : x
2. Step 2: Convert to fraction form
   190,544/418,456 = 418,456/x
3. Step 3: Cross multiply
   190,544x = 418,456 × 418,456
4. Step 4: Simplify right side
   190,544x = 175,105,423,936
5. Step 5: Solve for x
   x = 175,105,423,936/190,544
6. Step 6: Final answer
   x = 918,976.32