Finding the Third Proportional to 175,198 and 384,308

Step by Step Solution

1. Step 1: Write the proportion equation
   175,198 : 384,308 = 384,308 : x
2. Step 2: Convert to fraction form
   175,198/384,308 = 384,308/x
3. Step 3: Cross multiply
   175,198x = 384,308 × 384,308
4. Step 4: Simplify right side
   175,198x = 147,692,638,864
5. Step 5: Solve for x
   x = 147,692,638,864/175,198
6. Step 6: Final answer
   x = 843,004.14