Finding the Third Proportional to 356,648 and 743,184

Step by Step Solution

1. Step 1: Write the proportion equation
   356,648 : 743,184 = 743,184 : x
2. Step 2: Convert to fraction form
   356,648/743,184 = 743,184/x
3. Step 3: Cross multiply
   356,648x = 743,184 × 743,184
4. Step 4: Simplify right side
   356,648x = 552,322,457,856
5. Step 5: Solve for x
   x = 552,322,457,856/356,648
6. Step 6: Final answer
   x = 1,548,648.69