Finding the Third Proportional to 191,872 and 419,960

Step by Step Solution

1. Step 1: Write the proportion equation
   191,872 : 419,960 = 419,960 : x
2. Step 2: Convert to fraction form
   191,872/419,960 = 419,960/x
3. Step 3: Cross multiply
   191,872x = 419,960 × 419,960
4. Step 4: Simplify right side
   191,872x = 176,366,401,600
5. Step 5: Solve for x
   x = 176,366,401,600/191,872
6. Step 6: Final answer
   x = 919,187.80