Finding the Third Proportional to 171,648 and 268,308

Step by Step Solution

1. Step 1: Write the proportion equation
   171,648 : 268,308 = 268,308 : x
2. Step 2: Convert to fraction form
   171,648/268,308 = 268,308/x
3. Step 3: Cross multiply
   171,648x = 268,308 × 268,308
4. Step 4: Simplify right side
   171,648x = 71,989,182,864
5. Step 5: Solve for x
   x = 71,989,182,864/171,648
6. Step 6: Final answer
   x = 419,400.07