Finding the Third Proportional to 213,243 and 456,012

Step by Step Solution

1. Step 1: Write the proportion equation
   213,243 : 456,012 = 456,012 : x
2. Step 2: Convert to fraction form
   213,243/456,012 = 456,012/x
3. Step 3: Cross multiply
   213,243x = 456,012 × 456,012
4. Step 4: Simplify right side
   213,243x = 207,946,944,144
5. Step 5: Solve for x
   x = 207,946,944,144/213,243
6. Step 6: Final answer
   x = 975,164.22