Finding the Third Proportional to 202,016 and 443,380

Step by Step Solution

1. Step 1: Write the proportion equation
   202,016 : 443,380 = 443,380 : x
2. Step 2: Convert to fraction form
   202,016/443,380 = 443,380/x
3. Step 3: Cross multiply
   202,016x = 443,380 × 443,380
4. Step 4: Simplify right side
   202,016x = 196,585,824,400
5. Step 5: Solve for x
   x = 196,585,824,400/202,016
6. Step 6: Final answer
   x = 973,120.07