Finding the Third Proportional to 337,605 and 517,647.75

Step by Step Solution

1. Step 1: Write the proportion equation
   337,605 : 517,647.75 = 517,647.75 : x
2. Step 2: Convert to fraction form
   337,605/517,647.75 = 517,647.75/x
3. Step 3: Cross multiply
   337,605x = 517,647.75 × 517,647.75
4. Step 4: Simplify right side
   337,605x = 267,959,193,080.06
5. Step 5: Solve for x
   x = 267,959,193,080.06/337,605
6. Step 6: Final answer
   x = 793,706.23