Finding the Third Proportional to 270,084 and 585,978

Step by Step Solution

1. Step 1: Write the proportion equation
   270,084 : 585,978 = 585,978 : x
2. Step 2: Convert to fraction form
   270,084/585,978 = 585,978/x
3. Step 3: Cross multiply
   270,084x = 585,978 × 585,978
4. Step 4: Simplify right side
   270,084x = 343,370,216,484
5. Step 5: Solve for x
   x = 343,370,216,484/270,084
6. Step 6: Final answer
   x = 1,271,346.01