Finding the Third Proportional to 212,420 and 463,486

Step by Step Solution

1. Step 1: Write the proportion equation
   212,420 : 463,486 = 463,486 : x
2. Step 2: Convert to fraction form
   212,420/463,486 = 463,486/x
3. Step 3: Cross multiply
   212,420x = 463,486 × 463,486
4. Step 4: Simplify right side
   212,420x = 214,819,272,196
5. Step 5: Solve for x
   x = 214,819,272,196/212,420
6. Step 6: Final answer
   x = 1,011,294.94