Finding the Third Proportional to 295,780 and 443,526

Step by Step Solution

1. Step 1: Write the proportion equation
   295,780 : 443,526 = 443,526 : x
2. Step 2: Convert to fraction form
   295,780/443,526 = 443,526/x
3. Step 3: Cross multiply
   295,780x = 443,526 × 443,526
4. Step 4: Simplify right side
   295,780x = 196,715,312,676
5. Step 5: Solve for x
   x = 196,715,312,676/295,780
6. Step 6: Final answer
   x = 665,073.07