Finding the Third Proportional to 210,996 and 462,012

Step by Step Solution

1. Step 1: Write the proportion equation
   210,996 : 462,012 = 462,012 : x
2. Step 2: Convert to fraction form
   210,996/462,012 = 462,012/x
3. Step 3: Cross multiply
   210,996x = 462,012 × 462,012
4. Step 4: Simplify right side
   210,996x = 213,455,088,144
5. Step 5: Solve for x
   x = 213,455,088,144/210,996
6. Step 6: Final answer
   x = 1,011,654.67