Finding the Third Proportional to 194,128 and 424,456

Step by Step Solution

1. Step 1: Write the proportion equation
   194,128 : 424,456 = 424,456 : x
2. Step 2: Convert to fraction form
   194,128/424,456 = 424,456/x
3. Step 3: Cross multiply
   194,128x = 424,456 × 424,456
4. Step 4: Simplify right side
   194,128x = 180,162,895,936
5. Step 5: Solve for x
   x = 180,162,895,936/194,128
6. Step 6: Final answer
   x = 928,062.39