Finding the Third Proportional to 300,195 and 456,485

Step by Step Solution

1. Step 1: Write the proportion equation
   300,195 : 456,485 = 456,485 : x
2. Step 2: Convert to fraction form
   300,195/456,485 = 456,485/x
3. Step 3: Cross multiply
   300,195x = 456,485 × 456,485
4. Step 4: Simplify right side
   300,195x = 208,378,555,225
5. Step 5: Solve for x
   x = 208,378,555,225/300,195
6. Step 6: Final answer
   x = 694,143.99