Finding the Third Proportional to 262,561.50 and 633,015

Step by Step Solution

1. Step 1: Write the proportion equation
   262,561.50 : 633,015 = 633,015 : x
2. Step 2: Convert to fraction form
   262,561.50/633,015 = 633,015/x
3. Step 3: Cross multiply
   262,561.50x = 633,015 × 633,015
4. Step 4: Simplify right side
   262,561.50x = 400,707,990,225
5. Step 5: Solve for x
   x = 400,707,990,225/262,561.50
6. Step 6: Final answer
   x = 1,526,149.07