Finding the Third Proportional to 300,007.50 and 633,733.50

Step by Step Solution

1. Step 1: Write the proportion equation
   300,007.50 : 633,733.50 = 633,733.50 : x
2. Step 2: Convert to fraction form
   300,007.50/633,733.50 = 633,733.50/x
3. Step 3: Cross multiply
   300,007.50x = 633,733.50 × 633,733.50
4. Step 4: Simplify right side
   300,007.50x = 401,618,149,022.25
5. Step 5: Solve for x
   x = 401,618,149,022.25/300,007.50
6. Step 6: Final answer
   x = 1,338,693.70