Finding the Third Proportional to 114,871 and 171,614

Step by Step Solution

1. Step 1: Write the proportion equation
   114,871 : 171,614 = 171,614 : x
2. Step 2: Convert to fraction form
   114,871/171,614 = 171,614/x
3. Step 3: Cross multiply
   114,871x = 171,614 × 171,614
4. Step 4: Simplify right side
   114,871x = 29,451,364,996
5. Step 5: Solve for x
   x = 29,451,364,996/114,871
6. Step 6: Final answer
   x = 256,386.42