Finding the Third Proportional to 175,328 and 384,028

Step by Step Solution

1. Step 1: Write the proportion equation
   175,328 : 384,028 = 384,028 : x
2. Step 2: Convert to fraction form
   175,328/384,028 = 384,028/x
3. Step 3: Cross multiply
   175,328x = 384,028 × 384,028
4. Step 4: Simplify right side
   175,328x = 147,477,504,784
5. Step 5: Solve for x
   x = 147,477,504,784/175,328
6. Step 6: Final answer
   x = 841,152.04