Finding the Third Proportional to 143,538 and 213,666

Step by Step Solution

1. Step 1: Write the proportion equation
   143,538 : 213,666 = 213,666 : x
2. Step 2: Convert to fraction form
   143,538/213,666 = 213,666/x
3. Step 3: Cross multiply
   143,538x = 213,666 × 213,666
4. Step 4: Simplify right side
   143,538x = 45,653,159,556
5. Step 5: Solve for x
   x = 45,653,159,556/143,538
6. Step 6: Final answer
   x = 318,056.26