Finding the Third Proportional to 172,708 and 407,116

Step by Step Solution

1. Step 1: Write the proportion equation
   172,708 : 407,116 = 407,116 : x
2. Step 2: Convert to fraction form
   172,708/407,116 = 407,116/x
3. Step 3: Cross multiply
   172,708x = 407,116 × 407,116
4. Step 4: Simplify right side
   172,708x = 165,743,437,456
5. Step 5: Solve for x
   x = 165,743,437,456/172,708
6. Step 6: Final answer
   x = 959,674.35