Finding the Third Proportional to 212,498 and 462,380

Step by Step Solution

1. Step 1: Write the proportion equation
   212,498 : 462,380 = 462,380 : x
2. Step 2: Convert to fraction form
   212,498/462,380 = 462,380/x
3. Step 3: Cross multiply
   212,498x = 462,380 × 462,380
4. Step 4: Simplify right side
   212,498x = 213,795,264,400
5. Step 5: Solve for x
   x = 213,795,264,400/212,498
6. Step 6: Final answer
   x = 1,006,104.83