Finding the Third Proportional to 356,730 and 522,298

Step by Step Solution

1. Step 1: Write the proportion equation
   356,730 : 522,298 = 522,298 : x
2. Step 2: Convert to fraction form
   356,730/522,298 = 522,298/x
3. Step 3: Cross multiply
   356,730x = 522,298 × 522,298
4. Step 4: Simplify right side
   356,730x = 272,795,200,804
5. Step 5: Solve for x
   x = 272,795,200,804/356,730
6. Step 6: Final answer
   x = 764,710.57