Finding the Third Proportional to 355,007 and 764,142

Step by Step Solution

1. Step 1: Write the proportion equation
   355,007 : 764,142 = 764,142 : x
2. Step 2: Convert to fraction form
   355,007/764,142 = 764,142/x
3. Step 3: Cross multiply
   355,007x = 764,142 × 764,142
4. Step 4: Simplify right side
   355,007x = 583,912,996,164
5. Step 5: Solve for x
   x = 583,912,996,164/355,007
6. Step 6: Final answer
   x = 1,644,792.91