Finding the Third Proportional to 142,676 and 213,624

Step by Step Solution

1. Step 1: Write the proportion equation
   142,676 : 213,624 = 213,624 : x
2. Step 2: Convert to fraction form
   142,676/213,624 = 213,624/x
3. Step 3: Cross multiply
   142,676x = 213,624 × 213,624
4. Step 4: Simplify right side
   142,676x = 45,635,213,376
5. Step 5: Solve for x
   x = 45,635,213,376/142,676
6. Step 6: Final answer
   x = 319,852.07