Finding the Third Proportional to 142,740 and 213,705

Step by Step Solution

1. Step 1: Write the proportion equation
   142,740 : 213,705 = 213,705 : x
2. Step 2: Convert to fraction form
   142,740/213,705 = 213,705/x
3. Step 3: Cross multiply
   142,740x = 213,705 × 213,705
4. Step 4: Simplify right side
   142,740x = 45,669,827,025
5. Step 5: Solve for x
   x = 45,669,827,025/142,740
6. Step 6: Final answer
   x = 319,951.15