Finding the Third Proportional to 447,498.50 and 677,747.50

Step by Step Solution

1. Step 1: Write the proportion equation
   447,498.50 : 677,747.50 = 677,747.50 : x
2. Step 2: Convert to fraction form
   447,498.50/677,747.50 = 677,747.50/x
3. Step 3: Cross multiply
   447,498.50x = 677,747.50 × 677,747.50
4. Step 4: Simplify right side
   447,498.50x = 459,341,673,756.25
5. Step 5: Solve for x
   x = 459,341,673,756.25/447,498.50
6. Step 6: Final answer
   x = 1,026,465.28