Finding the Third Proportional to 262,588.50 and 576,085.50

Step by Step Solution

1. Step 1: Write the proportion equation
   262,588.50 : 576,085.50 = 576,085.50 : x
2. Step 2: Convert to fraction form
   262,588.50/576,085.50 = 576,085.50/x
3. Step 3: Cross multiply
   262,588.50x = 576,085.50 × 576,085.50
4. Step 4: Simplify right side
   262,588.50x = 331,874,503,310.25
5. Step 5: Solve for x
   x = 331,874,503,310.25/262,588.50
6. Step 6: Final answer
   x = 1,263,857.72