Finding the Third Proportional to 314,438 and 444,500

Step by Step Solution

1. Step 1: Write the proportion equation
   314,438 : 444,500 = 444,500 : x
2. Step 2: Convert to fraction form
   314,438/444,500 = 444,500/x
3. Step 3: Cross multiply
   314,438x = 444,500 × 444,500
4. Step 4: Simplify right side
   314,438x = 197,580,250,000
5. Step 5: Solve for x
   x = 197,580,250,000/314,438
6. Step 6: Final answer
   x = 628,359.96