Finding the Third Proportional to 212,682 and 463,998

Step by Step Solution

1. Step 1: Write the proportion equation
   212,682 : 463,998 = 463,998 : x
2. Step 2: Convert to fraction form
   212,682/463,998 = 463,998/x
3. Step 3: Cross multiply
   212,682x = 463,998 × 463,998
4. Step 4: Simplify right side
   212,682x = 215,294,144,004
5. Step 5: Solve for x
   x = 215,294,144,004/212,682
6. Step 6: Final answer
   x = 1,012,281.92