Finding the Third Proportional to 175,189 and 384,290

Step by Step Solution

1. Step 1: Write the proportion equation
   175,189 : 384,290 = 384,290 : x
2. Step 2: Convert to fraction form
   175,189/384,290 = 384,290/x
3. Step 3: Cross multiply
   175,189x = 384,290 × 384,290
4. Step 4: Simplify right side
   175,189x = 147,678,804,100
5. Step 5: Solve for x
   x = 147,678,804,100/175,189
6. Step 6: Final answer
   x = 842,968.47