Finding the Third Proportional to 159,664 and 266,096

Step by Step Solution

1. Step 1: Write the proportion equation
   159,664 : 266,096 = 266,096 : x
2. Step 2: Convert to fraction form
   159,664/266,096 = 266,096/x
3. Step 3: Cross multiply
   159,664x = 266,096 × 266,096
4. Step 4: Simplify right side
   159,664x = 70,807,081,216
5. Step 5: Solve for x
   x = 70,807,081,216/159,664
6. Step 6: Final answer
   x = 443,475.56