Finding the Third Proportional to 386,238 and 565,530

Step by Step Solution

1. Step 1: Write the proportion equation
   386,238 : 565,530 = 565,530 : x
2. Step 2: Convert to fraction form
   386,238/565,530 = 565,530/x
3. Step 3: Cross multiply
   386,238x = 565,530 × 565,530
4. Step 4: Simplify right side
   386,238x = 319,824,180,900
5. Step 5: Solve for x
   x = 319,824,180,900/386,238
6. Step 6: Final answer
   x = 828,049.50