Finding the Third Proportional to 212,946 and 465,636

Step by Step Solution

1. Step 1: Write the proportion equation
   212,946 : 465,636 = 465,636 : x
2. Step 2: Convert to fraction form
   212,946/465,636 = 465,636/x
3. Step 3: Cross multiply
   212,946x = 465,636 × 465,636
4. Step 4: Simplify right side
   212,946x = 216,816,884,496
5. Step 5: Solve for x
   x = 216,816,884,496/212,946
6. Step 6: Final answer
   x = 1,018,177.78