Finding the Third Proportional to 198,456 and 468,388

Step by Step Solution

1. Step 1: Write the proportion equation
   198,456 : 468,388 = 468,388 : x
2. Step 2: Convert to fraction form
   198,456/468,388 = 468,388/x
3. Step 3: Cross multiply
   198,456x = 468,388 × 468,388
4. Step 4: Simplify right side
   198,456x = 219,387,318,544
5. Step 5: Solve for x
   x = 219,387,318,544/198,456
6. Step 6: Final answer
   x = 1,105,470.83