Finding the Third Proportional to 463,824.50 and 997,767

Step by Step Solution

1. Step 1: Write the proportion equation
   463,824.50 : 997,767 = 997,767 : x
2. Step 2: Convert to fraction form
   463,824.50/997,767 = 997,767/x
3. Step 3: Cross multiply
   463,824.50x = 997,767 × 997,767
4. Step 4: Simplify right side
   463,824.50x = 995,538,986,289
5. Step 5: Solve for x
   x = 995,538,986,289/463,824.50
6. Step 6: Final answer
   x = 2,146,369.99