Finding the Third Proportional to 154,782 and 339,096

Step by Step Solution

1. Step 1: Write the proportion equation
   154,782 : 339,096 = 339,096 : x
2. Step 2: Convert to fraction form
   154,782/339,096 = 339,096/x
3. Step 3: Cross multiply
   154,782x = 339,096 × 339,096
4. Step 4: Simplify right side
   154,782x = 114,986,097,216
5. Step 5: Solve for x
   x = 114,986,097,216/154,782
6. Step 6: Final answer
   x = 742,890.63