Finding the Third Proportional to 349,713 and 765,033.75

Step by Step Solution

1. Step 1: Write the proportion equation
   349,713 : 765,033.75 = 765,033.75 : x
2. Step 2: Convert to fraction form
   349,713/765,033.75 = 765,033.75/x
3. Step 3: Cross multiply
   349,713x = 765,033.75 × 765,033.75
4. Step 4: Simplify right side
   349,713x = 585,276,638,639.06
5. Step 5: Solve for x
   x = 585,276,638,639.06/349,713
6. Step 6: Final answer
   x = 1,673,591.31