Finding the Third Proportional to 327,024 and 764,262

Step by Step Solution

1. Step 1: Write the proportion equation
   327,024 : 764,262 = 764,262 : x
2. Step 2: Convert to fraction form
   327,024/764,262 = 764,262/x
3. Step 3: Cross multiply
   327,024x = 764,262 × 764,262
4. Step 4: Simplify right side
   327,024x = 584,096,404,644
5. Step 5: Solve for x
   x = 584,096,404,644/327,024
6. Step 6: Final answer
   x = 1,786,096.45