Finding the Third Proportional to 191,852 and 391,320

Step by Step Solution

1. Step 1: Write the proportion equation
   191,852 : 391,320 = 391,320 : x
2. Step 2: Convert to fraction form
   191,852/391,320 = 391,320/x
3. Step 3: Cross multiply
   191,852x = 391,320 × 391,320
4. Step 4: Simplify right side
   191,852x = 153,131,342,400
5. Step 5: Solve for x
   x = 153,131,342,400/191,852
6. Step 6: Final answer
   x = 798,174.33