Finding the Third Proportional to 204,098 and 443,224

Step by Step Solution

1. Step 1: Write the proportion equation
   204,098 : 443,224 = 443,224 : x
2. Step 2: Convert to fraction form
   204,098/443,224 = 443,224/x
3. Step 3: Cross multiply
   204,098x = 443,224 × 443,224
4. Step 4: Simplify right side
   204,098x = 196,447,514,176
5. Step 5: Solve for x
   x = 196,447,514,176/204,098
6. Step 6: Final answer
   x = 962,515.63