Finding the Third Proportional to 301,728 and 415,633.50

Step by Step Solution

1. Step 1: Write the proportion equation
   301,728 : 415,633.50 = 415,633.50 : x
2. Step 2: Convert to fraction form
   301,728/415,633.50 = 415,633.50/x
3. Step 3: Cross multiply
   301,728x = 415,633.50 × 415,633.50
4. Step 4: Simplify right side
   301,728x = 172,751,206,322.25
5. Step 5: Solve for x
   x = 172,751,206,322.25/301,728
6. Step 6: Final answer
   x = 572,539.53