Finding the Third Proportional to 297,747 and 647,977.50

Step by Step Solution

1. Step 1: Write the proportion equation
   297,747 : 647,977.50 = 647,977.50 : x
2. Step 2: Convert to fraction form
   297,747/647,977.50 = 647,977.50/x
3. Step 3: Cross multiply
   297,747x = 647,977.50 × 647,977.50
4. Step 4: Simplify right side
   297,747x = 419,874,840,506.25
5. Step 5: Solve for x
   x = 419,874,840,506.25/297,747
6. Step 6: Final answer
   x = 1,410,173.20