Finding the Third Proportional to 193,123 and 419,495

Step by Step Solution

1. Step 1: Write the proportion equation
   193,123 : 419,495 = 419,495 : x
2. Step 2: Convert to fraction form
   193,123/419,495 = 419,495/x
3. Step 3: Cross multiply
   193,123x = 419,495 × 419,495
4. Step 4: Simplify right side
   193,123x = 175,976,055,025
5. Step 5: Solve for x
   x = 175,976,055,025/193,123
6. Step 6: Final answer
   x = 911,212.31