Finding the Third Proportional to 171,978 and 265,747

Step by Step Solution

1. Step 1: Write the proportion equation
   171,978 : 265,747 = 265,747 : x
2. Step 2: Convert to fraction form
   171,978/265,747 = 265,747/x
3. Step 3: Cross multiply
   171,978x = 265,747 × 265,747
4. Step 4: Simplify right side
   171,978x = 70,621,468,009
5. Step 5: Solve for x
   x = 70,621,468,009/171,978
6. Step 6: Final answer
   x = 410,642.45