Finding the Third Proportional to 194,142 and 424,204

Step by Step Solution

1. Step 1: Write the proportion equation
   194,142 : 424,204 = 424,204 : x
2. Step 2: Convert to fraction form
   194,142/424,204 = 424,204/x
3. Step 3: Cross multiply
   194,142x = 424,204 × 424,204
4. Step 4: Simplify right side
   194,142x = 179,949,033,616
5. Step 5: Solve for x
   x = 179,949,033,616/194,142
6. Step 6: Final answer
   x = 926,893.89