Finding the Third Proportional to 300,198 and 456,486

Step by Step Solution

1. Step 1: Write the proportion equation
   300,198 : 456,486 = 456,486 : x
2. Step 2: Convert to fraction form
   300,198/456,486 = 456,486/x
3. Step 3: Cross multiply
   300,198x = 456,486 × 456,486
4. Step 4: Simplify right side
   300,198x = 208,379,468,196
5. Step 5: Solve for x
   x = 208,379,468,196/300,198
6. Step 6: Final answer
   x = 694,140.09