Finding the Third Proportional to 386,227.69 and 565,514.72

Step by Step Solution

1. Step 1: Write the proportion equation
   386,227.69 : 565,514.72 = 565,514.72 : x
2. Step 2: Convert to fraction form
   386,227.69/565,514.72 = 565,514.72/x
3. Step 3: Cross multiply
   386,227.69x = 565,514.72 × 565,514.72
4. Step 4: Simplify right side
   386,227.69x = 319,806,897,122.89
5. Step 5: Solve for x
   x = 319,806,897,122.89/386,227.69
6. Step 6: Final answer
   x = 828,026.85