Finding the Third Proportional to 194,648 and 419,680

Step by Step Solution

1. Step 1: Write the proportion equation
   194,648 : 419,680 = 419,680 : x
2. Step 2: Convert to fraction form
   194,648/419,680 = 419,680/x
3. Step 3: Cross multiply
   194,648x = 419,680 × 419,680
4. Step 4: Simplify right side
   194,648x = 176,131,302,400
5. Step 5: Solve for x
   x = 176,131,302,400/194,648
6. Step 6: Final answer
   x = 904,870.86