Finding the Third Proportional to 212,086 and 461,492

Step by Step Solution

1. Step 1: Write the proportion equation
   212,086 : 461,492 = 461,492 : x
2. Step 2: Convert to fraction form
   212,086/461,492 = 461,492/x
3. Step 3: Cross multiply
   212,086x = 461,492 × 461,492
4. Step 4: Simplify right side
   212,086x = 212,974,866,064
5. Step 5: Solve for x
   x = 212,974,866,064/212,086
6. Step 6: Final answer
   x = 1,004,191.06