Finding the Third Proportional to 207,982.50 and 425,823

Step by Step Solution

1. Step 1: Write the proportion equation
   207,982.50 : 425,823 = 425,823 : x
2. Step 2: Convert to fraction form
   207,982.50/425,823 = 425,823/x
3. Step 3: Cross multiply
   207,982.50x = 425,823 × 425,823
4. Step 4: Simplify right side
   207,982.50x = 181,325,227,329
5. Step 5: Solve for x
   x = 181,325,227,329/207,982.50
6. Step 6: Final answer
   x = 871,829.25