Finding the Third Proportional to 386,588 and 544,404

Step by Step Solution

1. Step 1: Write the proportion equation
   386,588 : 544,404 = 544,404 : x
2. Step 2: Convert to fraction form
   386,588/544,404 = 544,404/x
3. Step 3: Cross multiply
   386,588x = 544,404 × 544,404
4. Step 4: Simplify right side
   386,588x = 296,375,715,216
5. Step 5: Solve for x
   x = 296,375,715,216/386,588
6. Step 6: Final answer
   x = 766,644.89