Finding the Third Proportional to 114,894 and 171,648

Step by Step Solution

1. Step 1: Write the proportion equation
   114,894 : 171,648 = 171,648 : x
2. Step 2: Convert to fraction form
   114,894/171,648 = 171,648/x
3. Step 3: Cross multiply
   114,894x = 171,648 × 171,648
4. Step 4: Simplify right side
   114,894x = 29,463,035,904
5. Step 5: Solve for x
   x = 29,463,035,904/114,894
6. Step 6: Final answer
   x = 256,436.68