Finding the Third Proportional to 311,002 and 469,744

Step by Step Solution

1. Step 1: Write the proportion equation
   311,002 : 469,744 = 469,744 : x
2. Step 2: Convert to fraction form
   311,002/469,744 = 469,744/x
3. Step 3: Cross multiply
   311,002x = 469,744 × 469,744
4. Step 4: Simplify right side
   311,002x = 220,659,425,536
5. Step 5: Solve for x
   x = 220,659,425,536/311,002
6. Step 6: Final answer
   x = 709,511.27