Finding the Third Proportional to 525,992 and 854,564

Step by Step Solution

1. Step 1: Write the proportion equation
   525,992 : 854,564 = 854,564 : x
2. Step 2: Convert to fraction form
   525,992/854,564 = 854,564/x
3. Step 3: Cross multiply
   525,992x = 854,564 × 854,564
4. Step 4: Simplify right side
   525,992x = 730,279,630,096
5. Step 5: Solve for x
   x = 730,279,630,096/525,992
6. Step 6: Final answer
   x = 1,388,385.43