Finding the Third Proportional to 191,362 and 419,204

Step by Step Solution

1. Step 1: Write the proportion equation
   191,362 : 419,204 = 419,204 : x
2. Step 2: Convert to fraction form
   191,362/419,204 = 419,204/x
3. Step 3: Cross multiply
   191,362x = 419,204 × 419,204
4. Step 4: Simplify right side
   191,362x = 175,731,993,616
5. Step 5: Solve for x
   x = 175,731,993,616/191,362
6. Step 6: Final answer
   x = 918,322.31