Finding the Third Proportional to 191,404 and 419,441

Step by Step Solution

1. Step 1: Write the proportion equation
   191,404 : 419,441 = 419,441 : x
2. Step 2: Convert to fraction form
   191,404/419,441 = 419,441/x
3. Step 3: Cross multiply
   191,404x = 419,441 × 419,441
4. Step 4: Simplify right side
   191,404x = 175,930,752,481
5. Step 5: Solve for x
   x = 175,930,752,481/191,404
6. Step 6: Final answer
   x = 919,159.23