Finding the Third Proportional to 300,004.50 and 633,727.50

Step by Step Solution

1. Step 1: Write the proportion equation
   300,004.50 : 633,727.50 = 633,727.50 : x
2. Step 2: Convert to fraction form
   300,004.50/633,727.50 = 633,727.50/x
3. Step 3: Cross multiply
   300,004.50x = 633,727.50 × 633,727.50
4. Step 4: Simplify right side
   300,004.50x = 401,610,544,256.25
5. Step 5: Solve for x
   x = 401,610,544,256.25/300,004.50
6. Step 6: Final answer
   x = 1,338,681.73