Finding the Third Proportional to 208,876 and 441,564

Step by Step Solution

1. Step 1: Write the proportion equation
   208,876 : 441,564 = 441,564 : x
2. Step 2: Convert to fraction form
   208,876/441,564 = 441,564/x
3. Step 3: Cross multiply
   208,876x = 441,564 × 441,564
4. Step 4: Simplify right side
   208,876x = 194,978,766,096
5. Step 5: Solve for x
   x = 194,978,766,096/208,876
6. Step 6: Final answer
   x = 933,466.58