Finding the Third Proportional to 114,965.50 and 171,740

Step by Step Solution

1. Step 1: Write the proportion equation
   114,965.50 : 171,740 = 171,740 : x
2. Step 2: Convert to fraction form
   114,965.50/171,740 = 171,740/x
3. Step 3: Cross multiply
   114,965.50x = 171,740 × 171,740
4. Step 4: Simplify right side
   114,965.50x = 29,494,627,600
5. Step 5: Solve for x
   x = 29,494,627,600/114,965.50
6. Step 6: Final answer
   x = 256,551.99