Finding the Third Proportional to 205,740 and 309,096

Step by Step Solution

1. Step 1: Write the proportion equation
   205,740 : 309,096 = 309,096 : x
2. Step 2: Convert to fraction form
   205,740/309,096 = 309,096/x
3. Step 3: Cross multiply
   205,740x = 309,096 × 309,096
4. Step 4: Simplify right side
   205,740x = 95,540,337,216
5. Step 5: Solve for x
   x = 95,540,337,216/205,740
6. Step 6: Final answer
   x = 464,374.15