Finding the Third Proportional to 213,245 and 456,016

Step by Step Solution

1. Step 1: Write the proportion equation
   213,245 : 456,016 = 456,016 : x
2. Step 2: Convert to fraction form
   213,245/456,016 = 456,016/x
3. Step 3: Cross multiply
   213,245x = 456,016 × 456,016
4. Step 4: Simplify right side
   213,245x = 207,950,592,256
5. Step 5: Solve for x
   x = 207,950,592,256/213,245
6. Step 6: Final answer
   x = 975,172.18