Finding the Third Proportional to 204,649.50 and 419,442

Step by Step Solution

1. Step 1: Write the proportion equation
   204,649.50 : 419,442 = 419,442 : x
2. Step 2: Convert to fraction form
   204,649.50/419,442 = 419,442/x
3. Step 3: Cross multiply
   204,649.50x = 419,442 × 419,442
4. Step 4: Simplify right side
   204,649.50x = 175,931,591,364
5. Step 5: Solve for x
   x = 175,931,591,364/204,649.50
6. Step 6: Final answer
   x = 859,672.72