Finding the Third Proportional to 212,464 and 462,392

Step by Step Solution

1. Step 1: Write the proportion equation
   212,464 : 462,392 = 462,392 : x
2. Step 2: Convert to fraction form
   212,464/462,392 = 462,392/x
3. Step 3: Cross multiply
   212,464x = 462,392 × 462,392
4. Step 4: Simplify right side
   212,464x = 213,806,361,664
5. Step 5: Solve for x
   x = 213,806,361,664/212,464
6. Step 6: Final answer
   x = 1,006,318.07