Finding the Third Proportional to 295,791 and 443,542.50

Step by Step Solution

1. Step 1: Write the proportion equation
   295,791 : 443,542.50 = 443,542.50 : x
2. Step 2: Convert to fraction form
   295,791/443,542.50 = 443,542.50/x
3. Step 3: Cross multiply
   295,791x = 443,542.50 × 443,542.50
4. Step 4: Simplify right side
   295,791x = 196,729,949,306.25
5. Step 5: Solve for x
   x = 196,729,949,306.25/295,791
6. Step 6: Final answer
   x = 665,097.82