Finding the Third Proportional to 343,080 and 509,629.50

Step by Step Solution

1. Step 1: Write the proportion equation
   343,080 : 509,629.50 = 509,629.50 : x
2. Step 2: Convert to fraction form
   343,080/509,629.50 = 509,629.50/x
3. Step 3: Cross multiply
   343,080x = 509,629.50 × 509,629.50
4. Step 4: Simplify right side
   343,080x = 259,722,227,270.25
5. Step 5: Solve for x
   x = 259,722,227,270.25/343,080
6. Step 6: Final answer
   x = 757,031.09