Finding the Third Proportional to 175,193 and 384,298

Step by Step Solution

1. Step 1: Write the proportion equation
   175,193 : 384,298 = 384,298 : x
2. Step 2: Convert to fraction form
   175,193/384,298 = 384,298/x
3. Step 3: Cross multiply
   175,193x = 384,298 × 384,298
4. Step 4: Simplify right side
   175,193x = 147,684,952,804
5. Step 5: Solve for x
   x = 147,684,952,804/175,193
6. Step 6: Final answer
   x = 842,984.32