Finding the Third Proportional to 259,628 and 558,034

Step by Step Solution

1. Step 1: Write the proportion equation
   259,628 : 558,034 = 558,034 : x
2. Step 2: Convert to fraction form
   259,628/558,034 = 558,034/x
3. Step 3: Cross multiply
   259,628x = 558,034 × 558,034
4. Step 4: Simplify right side
   259,628x = 311,401,945,156
5. Step 5: Solve for x
   x = 311,401,945,156/259,628
6. Step 6: Final answer
   x = 1,199,415.88