Finding the Third Proportional to 143,530 and 205,450

Step by Step Solution

1. Step 1: Write the proportion equation
   143,530 : 205,450 = 205,450 : x
2. Step 2: Convert to fraction form
   143,530/205,450 = 205,450/x
3. Step 3: Cross multiply
   143,530x = 205,450 × 205,450
4. Step 4: Simplify right side
   143,530x = 42,209,702,500
5. Step 5: Solve for x
   x = 42,209,702,500/143,530
6. Step 6: Final answer
   x = 294,082.79