Finding the Third Proportional to 114,975 and 171,754

Step by Step Solution

1. Step 1: Write the proportion equation
   114,975 : 171,754 = 171,754 : x
2. Step 2: Convert to fraction form
   114,975/171,754 = 171,754/x
3. Step 3: Cross multiply
   114,975x = 171,754 × 171,754
4. Step 4: Simplify right side
   114,975x = 29,499,436,516
5. Step 5: Solve for x
   x = 29,499,436,516/114,975
6. Step 6: Final answer
   x = 256,572.62