Finding the Third Proportional to 290,151 and 443,812

Step by Step Solution

1. Step 1: Write the proportion equation
   290,151 : 443,812 = 443,812 : x
2. Step 2: Convert to fraction form
   290,151/443,812 = 443,812/x
3. Step 3: Cross multiply
   290,151x = 443,812 × 443,812
4. Step 4: Simplify right side
   290,151x = 196,969,091,344
5. Step 5: Solve for x
   x = 196,969,091,344/290,151
6. Step 6: Final answer
   x = 678,850.29