Finding the Third Proportional to 212,216 and 461,754

Step by Step Solution

1. Step 1: Write the proportion equation
   212,216 : 461,754 = 461,754 : x
2. Step 2: Convert to fraction form
   212,216/461,754 = 461,754/x
3. Step 3: Cross multiply
   212,216x = 461,754 × 461,754
4. Step 4: Simplify right side
   212,216x = 213,216,756,516
5. Step 5: Solve for x
   x = 213,216,756,516/212,216
6. Step 6: Final answer
   x = 1,004,715.74