Finding the Third Proportional to 120,320 and 191,616

Step by Step Solution

1. Step 1: Write the proportion equation
   120,320 : 191,616 = 191,616 : x
2. Step 2: Convert to fraction form
   120,320/191,616 = 191,616/x
3. Step 3: Cross multiply
   120,320x = 191,616 × 191,616
4. Step 4: Simplify right side
   120,320x = 36,716,691,456
5. Step 5: Solve for x
   x = 36,716,691,456/120,320
6. Step 6: Final answer
   x = 305,158.67