Finding the Third Proportional to 114,975 and 171,754.50

Step by Step Solution

1. Step 1: Write the proportion equation
   114,975 : 171,754.50 = 171,754.50 : x
2. Step 2: Convert to fraction form
   114,975/171,754.50 = 171,754.50/x
3. Step 3: Cross multiply
   114,975x = 171,754.50 × 171,754.50
4. Step 4: Simplify right side
   114,975x = 29,499,608,270.25
5. Step 5: Solve for x
   x = 29,499,608,270.25/114,975
6. Step 6: Final answer
   x = 256,574.11