Finding the Third Proportional to 142,812 and 213,786

Step by Step Solution

1. Step 1: Write the proportion equation
   142,812 : 213,786 = 213,786 : x
2. Step 2: Convert to fraction form
   142,812/213,786 = 213,786/x
3. Step 3: Cross multiply
   142,812x = 213,786 × 213,786
4. Step 4: Simplify right side
   142,812x = 45,704,453,796
5. Step 5: Solve for x
   x = 45,704,453,796/142,812
6. Step 6: Final answer
   x = 320,032.31