Finding the Third Proportional to 45,818 and 100,384

Step by Step Solution

1. Step 1: Write the proportion equation
   45,818 : 100,384 = 100,384 : x
2. Step 2: Convert to fraction form
   45,818/100,384 = 100,384/x
3. Step 3: Cross multiply
   45,818x = 100,384 × 100,384
4. Step 4: Simplify right side
   45,818x = 10,076,947,456
5. Step 5: Solve for x
   x = 10,076,947,456/45,818
6. Step 6: Final answer
   x = 219,934.25