Finding the Third Proportional to 212,982 and 463,548

Step by Step Solution

1. Step 1: Write the proportion equation
   212,982 : 463,548 = 463,548 : x
2. Step 2: Convert to fraction form
   212,982/463,548 = 463,548/x
3. Step 3: Cross multiply
   212,982x = 463,548 × 463,548
4. Step 4: Simplify right side
   212,982x = 214,876,748,304
5. Step 5: Solve for x
   x = 214,876,748,304/212,982
6. Step 6: Final answer
   x = 1,008,896.28