Finding the Third Proportional to 256,442 and 558,034

Step by Step Solution

1. Step 1: Write the proportion equation
   256,442 : 558,034 = 558,034 : x
2. Step 2: Convert to fraction form
   256,442/558,034 = 558,034/x
3. Step 3: Cross multiply
   256,442x = 558,034 × 558,034
4. Step 4: Simplify right side
   256,442x = 311,401,945,156
5. Step 5: Solve for x
   x = 311,401,945,156/256,442
6. Step 6: Final answer
   x = 1,214,317.25