Finding the Third Proportional to 263,493 and 585,933.75

Step by Step Solution

1. Step 1: Write the proportion equation
   263,493 : 585,933.75 = 585,933.75 : x
2. Step 2: Convert to fraction form
   263,493/585,933.75 = 585,933.75/x
3. Step 3: Cross multiply
   263,493x = 585,933.75 × 585,933.75
4. Step 4: Simplify right side
   263,493x = 343,318,359,389.06
5. Step 5: Solve for x
   x = 343,318,359,389.06/263,493
6. Step 6: Final answer
   x = 1,302,950.59