Finding the Third Proportional to 337,684 and 713,384

Step by Step Solution

1. Step 1: Write the proportion equation
   337,684 : 713,384 = 713,384 : x
2. Step 2: Convert to fraction form
   337,684/713,384 = 713,384/x
3. Step 3: Cross multiply
   337,684x = 713,384 × 713,384
4. Step 4: Simplify right side
   337,684x = 508,916,731,456
5. Step 5: Solve for x
   x = 508,916,731,456/337,684
6. Step 6: Final answer
   x = 1,507,079.79