Finding the Third Proportional to 300,183 and 456,463

Step by Step Solution

1. Step 1: Write the proportion equation
   300,183 : 456,463 = 456,463 : x
2. Step 2: Convert to fraction form
   300,183/456,463 = 456,463/x
3. Step 3: Cross multiply
   300,183x = 456,463 × 456,463
4. Step 4: Simplify right side
   300,183x = 208,358,470,369
5. Step 5: Solve for x
   x = 208,358,470,369/300,183
6. Step 6: Final answer
   x = 694,104.83