Finding the Third Proportional to 301,644 and 448,363.50

Step by Step Solution

1. Step 1: Write the proportion equation
   301,644 : 448,363.50 = 448,363.50 : x
2. Step 2: Convert to fraction form
   301,644/448,363.50 = 448,363.50/x
3. Step 3: Cross multiply
   301,644x = 448,363.50 × 448,363.50
4. Step 4: Simplify right side
   301,644x = 201,029,828,132.25
5. Step 5: Solve for x
   x = 201,029,828,132.25/301,644
6. Step 6: Final answer
   x = 666,447.30