Finding the Third Proportional to 587,768.63 and 827,706

Step by Step Solution

1. Step 1: Write the proportion equation
   587,768.63 : 827,706 = 827,706 : x
2. Step 2: Convert to fraction form
   587,768.63/827,706 = 827,706/x
3. Step 3: Cross multiply
   587,768.63x = 827,706 × 827,706
4. Step 4: Simplify right side
   587,768.63x = 685,097,222,436
5. Step 5: Solve for x
   x = 685,097,222,436/587,768.63
6. Step 6: Final answer
   x = 1,165,589.98