Finding the Third Proportional to 320,961.38 and 496,711.69

Step by Step Solution

1. Step 1: Write the proportion equation
   320,961.38 : 496,711.69 = 496,711.69 : x
2. Step 2: Convert to fraction form
   320,961.38/496,711.69 = 496,711.69/x
3. Step 3: Cross multiply
   320,961.38x = 496,711.69 × 496,711.69
4. Step 4: Simplify right side
   320,961.38x = 246,722,500,499.10
5. Step 5: Solve for x
   x = 246,722,500,499.10/320,961.38
6. Step 6: Final answer
   x = 768,698.42