Finding the Third Proportional to 142,814 and 213,789

Step by Step Solution

1. Step 1: Write the proportion equation
   142,814 : 213,789 = 213,789 : x
2. Step 2: Convert to fraction form
   142,814/213,789 = 213,789/x
3. Step 3: Cross multiply
   142,814x = 213,789 × 213,789
4. Step 4: Simplify right side
   142,814x = 45,705,736,521
5. Step 5: Solve for x
   x = 45,705,736,521/142,814
6. Step 6: Final answer
   x = 320,036.81