Finding the Third Proportional to 579,664 and 891,096

Step by Step Solution

1. Step 1: Write the proportion equation
   579,664 : 891,096 = 891,096 : x
2. Step 2: Convert to fraction form
   579,664/891,096 = 891,096/x
3. Step 3: Cross multiply
   579,664x = 891,096 × 891,096
4. Step 4: Simplify right side
   579,664x = 794,052,081,216
5. Step 5: Solve for x
   x = 794,052,081,216/579,664
6. Step 6: Final answer
   x = 1,369,848.88