Finding the Third Proportional to 198,036 and 309,204

Step by Step Solution

1. Step 1: Write the proportion equation
   198,036 : 309,204 = 309,204 : x
2. Step 2: Convert to fraction form
   198,036/309,204 = 309,204/x
3. Step 3: Cross multiply
   198,036x = 309,204 × 309,204
4. Step 4: Simplify right side
   198,036x = 95,607,113,616
5. Step 5: Solve for x
   x = 95,607,113,616/198,036
6. Step 6: Final answer
   x = 482,776.43