Finding the Third Proportional to 514,723.50 and 775,872

Step by Step Solution

1. Step 1: Write the proportion equation
   514,723.50 : 775,872 = 775,872 : x
2. Step 2: Convert to fraction form
   514,723.50/775,872 = 775,872/x
3. Step 3: Cross multiply
   514,723.50x = 775,872 × 775,872
4. Step 4: Simplify right side
   514,723.50x = 601,977,360,384
5. Step 5: Solve for x
   x = 601,977,360,384/514,723.50
6. Step 6: Final answer
   x = 1,169,515.98