Finding the Third Proportional to 95,976 and 199,632

Step by Step Solution

1. Step 1: Write the proportion equation
   95,976 : 199,632 = 199,632 : x
2. Step 2: Convert to fraction form
   95,976/199,632 = 199,632/x
3. Step 3: Cross multiply
   95,976x = 199,632 × 199,632
4. Step 4: Simplify right side
   95,976x = 39,852,935,424
5. Step 5: Solve for x
   x = 39,852,935,424/95,976
6. Step 6: Final answer
   x = 415,238.55