Finding the Third Proportional to 212,658 and 462,468

Step by Step Solution

1. Step 1: Write the proportion equation
   212,658 : 462,468 = 462,468 : x
2. Step 2: Convert to fraction form
   212,658/462,468 = 462,468/x
3. Step 3: Cross multiply
   212,658x = 462,468 × 462,468
4. Step 4: Simplify right side
   212,658x = 213,876,651,024
5. Step 5: Solve for x
   x = 213,876,651,024/212,658
6. Step 6: Final answer
   x = 1,005,730.57