Finding the Third Proportional to 100,443 and 147,384

Step by Step Solution

1. Step 1: Write the proportion equation
   100,443 : 147,384 = 147,384 : x
2. Step 2: Convert to fraction form
   100,443/147,384 = 147,384/x
3. Step 3: Cross multiply
   100,443x = 147,384 × 147,384
4. Step 4: Simplify right side
   100,443x = 21,722,043,456
5. Step 5: Solve for x
   x = 21,722,043,456/100,443
6. Step 6: Final answer
   x = 216,262.39