Finding the Third Proportional to 198,416 and 468,300

Step by Step Solution

1. Step 1: Write the proportion equation
   198,416 : 468,300 = 468,300 : x
2. Step 2: Convert to fraction form
   198,416/468,300 = 468,300/x
3. Step 3: Cross multiply
   198,416x = 468,300 × 468,300
4. Step 4: Simplify right side
   198,416x = 219,304,890,000
5. Step 5: Solve for x
   x = 219,304,890,000/198,416
6. Step 6: Final answer
   x = 1,105,278.25