Finding the Third Proportional to 338,665 and 723,986

Step by Step Solution

1. Step 1: Write the proportion equation
   338,665 : 723,986 = 723,986 : x
2. Step 2: Convert to fraction form
   338,665/723,986 = 723,986/x
3. Step 3: Cross multiply
   338,665x = 723,986 × 723,986
4. Step 4: Simplify right side
   338,665x = 524,155,728,196
5. Step 5: Solve for x
   x = 524,155,728,196/338,665
6. Step 6: Final answer
   x = 1,547,711.54