Finding the Third Proportional to 353,664 and 773,298

Step by Step Solution

1. Step 1: Write the proportion equation
   353,664 : 773,298 = 773,298 : x
2. Step 2: Convert to fraction form
   353,664/773,298 = 773,298/x
3. Step 3: Cross multiply
   353,664x = 773,298 × 773,298
4. Step 4: Simplify right side
   353,664x = 597,989,796,804
5. Step 5: Solve for x
   x = 597,989,796,804/353,664
6. Step 6: Final answer
   x = 1,690,841.58