Finding the Third Proportional to 295,433 and 443,038

Step by Step Solution

1. Step 1: Write the proportion equation
   295,433 : 443,038 = 443,038 : x
2. Step 2: Convert to fraction form
   295,433/443,038 = 443,038/x
3. Step 3: Cross multiply
   295,433x = 443,038 × 443,038
4. Step 4: Simplify right side
   295,433x = 196,282,669,444
5. Step 5: Solve for x
   x = 196,282,669,444/295,433
6. Step 6: Final answer
   x = 664,389.79