Finding the Third Proportional to 202,471 and 443,074

Step by Step Solution

1. Step 1: Write the proportion equation
   202,471 : 443,074 = 443,074 : x
2. Step 2: Convert to fraction form
   202,471/443,074 = 443,074/x
3. Step 3: Cross multiply
   202,471x = 443,074 × 443,074
4. Step 4: Simplify right side
   202,471x = 196,314,569,476
5. Step 5: Solve for x
   x = 196,314,569,476/202,471
6. Step 6: Final answer
   x = 969,593.52