Finding the Third Proportional to 259,732 and 414,932

Step by Step Solution

1. Step 1: Write the proportion equation
   259,732 : 414,932 = 414,932 : x
2. Step 2: Convert to fraction form
   259,732/414,932 = 414,932/x
3. Step 3: Cross multiply
   259,732x = 414,932 × 414,932
4. Step 4: Simplify right side
   259,732x = 172,168,564,624
5. Step 5: Solve for x
   x = 172,168,564,624/259,732
6. Step 6: Final answer
   x = 662,870.05