Finding the Third Proportional to 190,712 and 419,510

Step by Step Solution

1. Step 1: Write the proportion equation
   190,712 : 419,510 = 419,510 : x
2. Step 2: Convert to fraction form
   190,712/419,510 = 419,510/x
3. Step 3: Cross multiply
   190,712x = 419,510 × 419,510
4. Step 4: Simplify right side
   190,712x = 175,988,640,100
5. Step 5: Solve for x
   x = 175,988,640,100/190,712
6. Step 6: Final answer
   x = 922,797.94