Finding the Third Proportional to 191,392 and 419,422

Step by Step Solution

1. Step 1: Write the proportion equation
   191,392 : 419,422 = 419,422 : x
2. Step 2: Convert to fraction form
   191,392/419,422 = 419,422/x
3. Step 3: Cross multiply
   191,392x = 419,422 × 419,422
4. Step 4: Simplify right side
   191,392x = 175,914,814,084
5. Step 5: Solve for x
   x = 175,914,814,084/191,392
6. Step 6: Final answer
   x = 919,133.58