Finding the Third Proportional to 143,530 and 213,654

Step by Step Solution

1. Step 1: Write the proportion equation
   143,530 : 213,654 = 213,654 : x
2. Step 2: Convert to fraction form
   143,530/213,654 = 213,654/x
3. Step 3: Cross multiply
   143,530x = 213,654 × 213,654
4. Step 4: Simplify right side
   143,530x = 45,648,031,716
5. Step 5: Solve for x
   x = 45,648,031,716/143,530
6. Step 6: Final answer
   x = 318,038.26