Finding the Third Proportional to 354,056 and 764,456

Step by Step Solution

1. Step 1: Write the proportion equation
   354,056 : 764,456 = 764,456 : x
2. Step 2: Convert to fraction form
   354,056/764,456 = 764,456/x
3. Step 3: Cross multiply
   354,056x = 764,456 × 764,456
4. Step 4: Simplify right side
   354,056x = 584,392,975,936
5. Step 5: Solve for x
   x = 584,392,975,936/354,056
6. Step 6: Final answer
   x = 1,650,566.51