Finding the Third Proportional to 823,086 and 1,174,755

Step by Step Solution

1. Step 1: Write the proportion equation
   823,086 : 1,174,755 = 1,174,755 : x
2. Step 2: Convert to fraction form
   823,086/1,174,755 = 1,174,755/x
3. Step 3: Cross multiply
   823,086x = 1,174,755 × 1,174,755
4. Step 4: Simplify right side
   823,086x = 1,380,049,310,025
5. Step 5: Solve for x
   x = 1,380,049,310,025/823,086
6. Step 6: Final answer
   x = 1,676,676.93