Finding the Third Proportional to 224,766 and 511,892

Step by Step Solution

1. Step 1: Write the proportion equation
   224,766 : 511,892 = 511,892 : x
2. Step 2: Convert to fraction form
   224,766/511,892 = 511,892/x
3. Step 3: Cross multiply
   224,766x = 511,892 × 511,892
4. Step 4: Simplify right side
   224,766x = 262,033,419,664
5. Step 5: Solve for x
   x = 262,033,419,664/224,766
6. Step 6: Final answer
   x = 1,165,805.41