Finding the Third Proportional to 198,422 and 468,306

Step by Step Solution

1. Step 1: Write the proportion equation
   198,422 : 468,306 = 468,306 : x
2. Step 2: Convert to fraction form
   198,422/468,306 = 468,306/x
3. Step 3: Cross multiply
   198,422x = 468,306 × 468,306
4. Step 4: Simplify right side
   198,422x = 219,310,509,636
5. Step 5: Solve for x
   x = 219,310,509,636/198,422
6. Step 6: Final answer
   x = 1,105,273.15