Finding the Third Proportional to 142,682 and 213,562

Step by Step Solution

1. Step 1: Write the proportion equation
   142,682 : 213,562 = 213,562 : x
2. Step 2: Convert to fraction form
   142,682/213,562 = 213,562/x
3. Step 3: Cross multiply
   142,682x = 213,562 × 213,562
4. Step 4: Simplify right side
   142,682x = 45,608,727,844
5. Step 5: Solve for x
   x = 45,608,727,844/142,682
6. Step 6: Final answer
   x = 319,652.99