Finding the Third Proportional to 300,796.50 and 642,195

Step by Step Solution

1. Step 1: Write the proportion equation
   300,796.50 : 642,195 = 642,195 : x
2. Step 2: Convert to fraction form
   300,796.50/642,195 = 642,195/x
3. Step 3: Cross multiply
   300,796.50x = 642,195 × 642,195
4. Step 4: Simplify right side
   300,796.50x = 412,414,418,025
5. Step 5: Solve for x
   x = 412,414,418,025/300,796.50
6. Step 6: Final answer
   x = 1,371,074.52