Finding the Third Proportional to 143,754 and 205,845

Step by Step Solution

1. Step 1: Write the proportion equation
   143,754 : 205,845 = 205,845 : x
2. Step 2: Convert to fraction form
   143,754/205,845 = 205,845/x
3. Step 3: Cross multiply
   143,754x = 205,845 × 205,845
4. Step 4: Simplify right side
   143,754x = 42,372,164,025
5. Step 5: Solve for x
   x = 42,372,164,025/143,754
6. Step 6: Final answer
   x = 294,754.68