Finding the Third Proportional to 198,424 and 468,311.50

Step by Step Solution

1. Step 1: Write the proportion equation
   198,424 : 468,311.50 = 468,311.50 : x
2. Step 2: Convert to fraction form
   198,424/468,311.50 = 468,311.50/x
3. Step 3: Cross multiply
   198,424x = 468,311.50 × 468,311.50
4. Step 4: Simplify right side
   198,424x = 219,315,661,032.25
5. Step 5: Solve for x
   x = 219,315,661,032.25/198,424
6. Step 6: Final answer
   x = 1,105,287.97