Finding the Third Proportional to 511,770 and 1,082,590

Step by Step Solution

1. Step 1: Write the proportion equation
   511,770 : 1,082,590 = 1,082,590 : x
2. Step 2: Convert to fraction form
   511,770/1,082,590 = 1,082,590/x
3. Step 3: Cross multiply
   511,770x = 1,082,590 × 1,082,590
4. Step 4: Simplify right side
   511,770x = 1,172,001,108,100
5. Step 5: Solve for x
   x = 1,172,001,108,100/511,770
6. Step 6: Final answer
   x = 2,290,093.42