Finding the Third Proportional to 566,592 and 884,256

Step by Step Solution

1. Step 1: Write the proportion equation
   566,592 : 884,256 = 884,256 : x
2. Step 2: Convert to fraction form
   566,592/884,256 = 884,256/x
3. Step 3: Cross multiply
   566,592x = 884,256 × 884,256
4. Step 4: Simplify right side
   566,592x = 781,908,673,536
5. Step 5: Solve for x
   x = 781,908,673,536/566,592
6. Step 6: Final answer
   x = 1,380,020.67