Finding the Third Proportional to 172,298 and 365,470

Step by Step Solution

1. Step 1: Write the proportion equation
   172,298 : 365,470 = 365,470 : x
2. Step 2: Convert to fraction form
   172,298/365,470 = 365,470/x
3. Step 3: Cross multiply
   172,298x = 365,470 × 365,470
4. Step 4: Simplify right side
   172,298x = 133,568,320,900
5. Step 5: Solve for x
   x = 133,568,320,900/172,298
6. Step 6: Final answer
   x = 775,216.90