Finding the Third Proportional to 582,544 and 787,055

Step by Step Solution

1. Step 1: Write the proportion equation
   582,544 : 787,055 = 787,055 : x
2. Step 2: Convert to fraction form
   582,544/787,055 = 787,055/x
3. Step 3: Cross multiply
   582,544x = 787,055 × 787,055
4. Step 4: Simplify right side
   582,544x = 619,455,573,025
5. Step 5: Solve for x
   x = 619,455,573,025/582,544
6. Step 6: Final answer
   x = 1,063,362.72