Finding the Third Proportional to 175,082 and 384,204

Step by Step Solution

1. Step 1: Write the proportion equation
   175,082 : 384,204 = 384,204 : x
2. Step 2: Convert to fraction form
   175,082/384,204 = 384,204/x
3. Step 3: Cross multiply
   175,082x = 384,204 × 384,204
4. Step 4: Simplify right side
   175,082x = 147,612,713,616
5. Step 5: Solve for x
   x = 147,612,713,616/175,082
6. Step 6: Final answer
   x = 843,106.17