Finding the Third Proportional to 199,945.50 and 422,367

Step by Step Solution

1. Step 1: Write the proportion equation
   199,945.50 : 422,367 = 422,367 : x
2. Step 2: Convert to fraction form
   199,945.50/422,367 = 422,367/x
3. Step 3: Cross multiply
   199,945.50x = 422,367 × 422,367
4. Step 4: Simplify right side
   199,945.50x = 178,393,882,689
5. Step 5: Solve for x
   x = 178,393,882,689/199,945.50
6. Step 6: Final answer
   x = 892,212.54