Finding the Third Proportional to 213,870 and 461,976

Step by Step Solution

1. Step 1: Write the proportion equation
   213,870 : 461,976 = 461,976 : x
2. Step 2: Convert to fraction form
   213,870/461,976 = 461,976/x
3. Step 3: Cross multiply
   213,870x = 461,976 × 461,976
4. Step 4: Simplify right side
   213,870x = 213,421,824,576
5. Step 5: Solve for x
   x = 213,421,824,576/213,870
6. Step 6: Final answer
   x = 997,904.45