Finding the Third Proportional to 349,557 and 765,809.25

Step by Step Solution

1. Step 1: Write the proportion equation
   349,557 : 765,809.25 = 765,809.25 : x
2. Step 2: Convert to fraction form
   349,557/765,809.25 = 765,809.25/x
3. Step 3: Cross multiply
   349,557x = 765,809.25 × 765,809.25
4. Step 4: Simplify right side
   349,557x = 586,463,807,385.56
5. Step 5: Solve for x
   x = 586,463,807,385.56/349,557
6. Step 6: Final answer
   x = 1,677,734.41