Finding the Third Proportional to 114,540 and 171,825

Step by Step Solution

1. Step 1: Write the proportion equation
   114,540 : 171,825 = 171,825 : x
2. Step 2: Convert to fraction form
   114,540/171,825 = 171,825/x
3. Step 3: Cross multiply
   114,540x = 171,825 × 171,825
4. Step 4: Simplify right side
   114,540x = 29,523,830,625
5. Step 5: Solve for x
   x = 29,523,830,625/114,540
6. Step 6: Final answer
   x = 257,760.00