Finding the Third Proportional to 300,801 and 642,193.50

Step by Step Solution

1. Step 1: Write the proportion equation
   300,801 : 642,193.50 = 642,193.50 : x
2. Step 2: Convert to fraction form
   300,801/642,193.50 = 642,193.50/x
3. Step 3: Cross multiply
   300,801x = 642,193.50 × 642,193.50
4. Step 4: Simplify right side
   300,801x = 412,412,491,442.25
5. Step 5: Solve for x
   x = 412,412,491,442.25/300,801
6. Step 6: Final answer
   x = 1,371,047.61