Finding the Third Proportional to 46,160 and 100,384

Step by Step Solution

1. Step 1: Write the proportion equation
   46,160 : 100,384 = 100,384 : x
2. Step 2: Convert to fraction form
   46,160/100,384 = 100,384/x
3. Step 3: Cross multiply
   46,160x = 100,384 × 100,384
4. Step 4: Simplify right side
   46,160x = 10,076,947,456
5. Step 5: Solve for x
   x = 10,076,947,456/46,160
6. Step 6: Final answer
   x = 218,304.75