Finding the Third Proportional to 46,456 and 95,384

Step by Step Solution

1. Step 1: Write the proportion equation
   46,456 : 95,384 = 95,384 : x
2. Step 2: Convert to fraction form
   46,456/95,384 = 95,384/x
3. Step 3: Cross multiply
   46,456x = 95,384 × 95,384
4. Step 4: Simplify right side
   46,456x = 9,098,107,456
5. Step 5: Solve for x
   x = 9,098,107,456/46,456
6. Step 6: Final answer
   x = 195,843.54