Finding the Third Proportional to 349,564.50 and 765,825

Step by Step Solution

1. Step 1: Write the proportion equation
   349,564.50 : 765,825 = 765,825 : x
2. Step 2: Convert to fraction form
   349,564.50/765,825 = 765,825/x
3. Step 3: Cross multiply
   349,564.50x = 765,825 × 765,825
4. Step 4: Simplify right side
   349,564.50x = 586,487,930,625
5. Step 5: Solve for x
   x = 586,487,930,625/349,564.50
6. Step 6: Final answer
   x = 1,677,767.42