Finding the Third Proportional to 355,008 and 764,144

Step by Step Solution

1. Step 1: Write the proportion equation
   355,008 : 764,144 = 764,144 : x
2. Step 2: Convert to fraction form
   355,008/764,144 = 764,144/x
3. Step 3: Cross multiply
   355,008x = 764,144 × 764,144
4. Step 4: Simplify right side
   355,008x = 583,916,052,736
5. Step 5: Solve for x
   x = 583,916,052,736/355,008
6. Step 6: Final answer
   x = 1,644,796.89